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arxiv: 2606.19440 · v1 · pith:G6VQJBYInew · submitted 2026-06-17 · ✦ hep-th · astro-ph.CO· hep-ph

Moduli Stabilisation for ADD and the Dark Dimension Scenario

Andreas P. Braun , Michele Cicoli , Riccardo Milioli , Roberto Valandro This is my paper

Pith reviewed 2026-06-26 19:35 UTC · model grok-4.3

classification ✦ hep-th astro-ph.COhep-ph
keywords moduli stabilisationlarge volume scenarioextra dimensionsdark dimensionADD scenariotype IIB string theoryK3 fibrationCalabi-Yau orientifold
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The pith

Perturbative corrections in type IIB strings stabilize K3 fibre volumes to realize one or two large extra dimensions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper constructs a moduli stabilisation mechanism inside the Large Volume Scenario that produces anisotropic Calabi-Yau compactifications with one or two large extra dimensions. These geometries match the requirements of the ADD scenario and the dark dimension proposal by generating an exponentially large overall volume while keeping a Kaluza-Klein scale low enough to be phenomenologically relevant. The construction uses a K3 fibration over a P1 base, where string loop corrections and higher-derivative terms fix the K3 volume at modest size and leave the base large. Complex structure moduli can further deform the base into a limit with a single large cycle. The resulting potential can support either a de Sitter vacuum or a quintessence runaway, both requiring some tuning to match the observed cosmological constant scale.

Core claim

In the type IIB Large Volume Scenario an exponentially large Calabi-Yau volume naturally produces a parametrically low Kaluza-Klein scale. Anisotropy is achieved by taking a K3 fibration over a P1 base whose 4D fibre volume is fixed at relatively small values by perturbative corrections, chiefly string loops and higher-derivative effects, while the 2D base volume remains exponentially large. Complex structure moduli can drive the base into a Tyurin degeneration limit that effectively yields a single large 1D cycle, or into a symmetric limit that recovers the ADD case. The scalar potential admits either a de Sitter vacuum or a quintessence runaway, each requiring tuning to reproduce the obser

What carries the argument

K3-fibered Calabi-Yau threefold whose fibre volume is fixed small by string loop and higher-derivative corrections while the P1 base volume stays exponentially large.

If this is right

  • The overall Calabi-Yau volume can be exponentially large while one or two directions remain parametrically larger than the others.
  • The construction supplies explicit orientifold examples with consistent brane setups and tadpole cancellation.
  • The moduli spectrum must satisfy existing bounds on supersymmetry breaking, cosmological overproduction, and fifth-force constraints.
  • The potential can realize either a metastable de Sitter vacuum or a quintessence runaway.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The dynamical deformation of the base by complex structure moduli offers a string-theoretic route to selecting the number of large dimensions without additional discrete choices.
  • If the large cycle lies near the millimeter scale, the same stabilisation would imply observable modifications to Newtonian gravity at laboratory distances.
  • Similar perturbative stabilisation might apply to other fibration structures, potentially broadening the class of anisotropic compactifications that can be realized in the Large Volume Scenario.

Load-bearing premise

Perturbative corrections can pin the K3 fibre volume small without non-perturbative or other terms in the effective action driving it large.

What would settle it

Absence of a Kaluza-Klein scale or moduli masses at the values predicted by the exponentially large base volume in precision gravity or cosmological observations.

read the original abstract

We provide a moduli stabilisation mechanism for realising anisotropic string compactifications with one or two large extra dimensions, corresponding to the ADD and Dark Dimension scenarios. This is achieved within the type IIB Large Volume Scenario, where an exponentially large Calabi-Yau volume in string units can naturally generate a parametrically low Kaluza-Klein scale. Anisotropy is realised by considering a Calabi-Yau threefold which is a K3 fibration over a $\mathbb{P}^1$ base. The volume of the 4D K3 fibre is stabilised at relatively small values by perturbative corrections to the effective action, in particular string loops and higher-derivative effects, leaving an exponentially large volume of the 2D $\mathbb{P}^1$ base. We argue that complex structure moduli stabilisation can dynamically deform the $\mathbb{P}^1$ base, corresponding to a Tyurin degeneration limit where the internal geometry effectively develops a single large 1D cycle. Within a unified description, the ADD case is instead recovered as a symmetric alternative limit. The potential can feature either a dS vacuum or a quintessence runaway, although in both cases some degree of tuning is required to match the observed cosmological constant scale. We also present an explicit Calabi-Yau orientifold example with consistent brane setup, tadpole cancellation and moduli stabilisation. We analyse the resulting moduli spectrum and associated phenomenological constraints, including supersymmetry breaking, cosmological moduli overproduction and fifth force bounds.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The paper claims to provide a moduli stabilisation mechanism within the type IIB Large Volume Scenario (LVS) for realising anisotropic string compactifications with one or two large extra dimensions, corresponding to the ADD and Dark Dimension scenarios. Anisotropy is achieved via a K3-fibred Calabi-Yau threefold over a P1 base, where perturbative corrections (string loops and higher-derivative effects) stabilise the 4D K3 fibre volume at relatively small values while the 2D P1 base remains exponentially large, naturally generating a low Kaluza-Klein scale. Complex structure moduli are argued to induce a Tyurin degeneration limit (or symmetric limit for ADD). An explicit Calabi-Yau orientifold example is presented with consistent brane setup, tadpole cancellation, and moduli stabilisation; the resulting spectrum is analysed along with phenomenological constraints including supersymmetry breaking, cosmological moduli overproduction, and fifth-force bounds. The scalar potential can yield either a dS vacuum or quintessence runaway, though some tuning is required to match the observed cosmological constant.

Significance. If the stabilisation holds, the work supplies a concrete string-theoretic embedding of the ADD and Dark Dimension scenarios inside LVS, using perturbative effects to enforce anisotropy rather than relying solely on non-perturbative terms. The explicit Calabi-Yau orientifold construction with verified tadpole cancellation and brane configuration is a clear strength, as is the unified treatment of the two scenarios and the inclusion of phenomenological constraints. These elements move the discussion beyond abstract volume arguments toward a falsifiable model with controlled moduli spectrum.

major comments (1)
  1. [Moduli stabilisation mechanism and explicit example] The central claim that perturbative corrections alone stabilise the K3 fibre volume at small values while the P1 base is exponentially large (without non-perturbative or other effects spoiling the hierarchy) is load-bearing for the anisotropy. The manuscript should explicitly demonstrate this in the effective potential for the explicit orientifold example, including the relative sizes of all correction terms.
minor comments (2)
  1. [Scalar potential discussion] The statement that 'some degree of tuning is required' to match the cosmological constant scale should be quantified (e.g., the tuning measure or parameter sensitivity) to allow assessment of naturalness.
  2. [Volume form and anisotropy] Clarify the notation for the fibre and base volumes (e.g., consistent use of τ_fibre vs. τ_base) when presenting the volume form and the resulting KK scale.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive report and the constructive comment on the stabilisation mechanism. We address the point below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: The central claim that perturbative corrections alone stabilise the K3 fibre volume at small values while the P1 base is exponentially large (without non-perturbative or other effects spoiling the hierarchy) is load-bearing for the anisotropy. The manuscript should explicitly demonstrate this in the effective potential for the explicit orientifold example, including the relative sizes of all correction terms.

    Authors: We agree that an explicit numerical comparison of the correction terms in the effective potential for the orientifold example would strengthen the presentation of the hierarchy. In the current manuscript the potential is derived in Section 3 and applied to the example in Section 5, where the dominance of the perturbative (loop and higher-derivative) contributions over non-perturbative terms is argued on the basis of the volume scaling. To address the referee's request we will add a dedicated paragraph (or short appendix) that evaluates the relative magnitudes of all terms at the minimum for the explicit Calabi-Yau orientifold, confirming that the perturbative pieces set the fibre volume while the base remains exponentially large. This addition will be included in the revised version. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The manuscript constructs an explicit Calabi-Yau orientifold with consistent brane setup, tadpole cancellation, and moduli stabilisation. The anisotropic LVS realisation stabilises the K3 fibre volume via perturbative corrections (loops and higher-derivative terms) while the P1 base remains exponentially large; this follows from the fibration geometry and standard LVS balancing rather than any self-definitional loop, fitted parameter renamed as prediction, or load-bearing self-citation chain. The resulting spectrum and constraints are derived from the explicit example without reducing the central claim to its inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review prevents exhaustive ledger; the stabilisation relies on unstated assumptions about the dominance of perturbative corrections and the existence of suitable K3-fibered Calabi-Yau threefolds with consistent orientifolds.

pith-pipeline@v0.9.1-grok · 5799 in / 1315 out tokens · 18889 ms · 2026-06-26T19:35:03.337553+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

110 extracted references · 101 canonical work pages · 60 internal anchors

  1. [1]

    Lee, E.G

    J.G. Lee, E.G. Adelberger, T.S. Cook, S.M. Fleischer and B.R. Heckel,New test of the gravitational1/r 2 law at separations down to 52µm,Phys. Rev. Lett.124(2020) 101101 [2002.11761]

    work page arXiv 2020

  2. [2]

    Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity

    N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali,Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity,Phys. Rev. D59(1999) 086004 [hep-ph/9807344]

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  3. [3]

    Anchordoqui, I

    L.A. Anchordoqui, I. Antoniadis and D. Lust,Two Micron-Size Dark Dimensions,Fortsch. Phys.73(2025) e70015 [2501.11690]

    work page arXiv 2025

  4. [4]

    The Hierarchy Problem and New Dimensions at a Millimeter

    N. Arkani-Hamed, S. Dimopoulos and G. Dvali,The hierarchy problem and new dimensions at a millimeter,Phys. Lett. B429(1998) 263 [hep-ph/9803315]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  5. [5]

    Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity

    Y. Aghababaie, C.P. Burgess, S.L. Parameswaran and F. Quevedo,Towards a naturally small cosmological constant from branes in 6-D supergravity,Nucl. Phys. B680(2004) 389 [hep-th/0304256]

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  6. [6]

    Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

    V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo,Systematics of moduli stabilisation in calabi-yau flux compactifications,JHEP03(2005) 007 [hep-th/0502058]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  7. [7]

    Anisotropic Modulus Stabilisation: Strings at LHC Scales with Micron-sized Extra Dimensions

    M. Cicoli, C.P. Burgess and F. Quevedo,Anisotropic Modulus Stabilisation: Strings at LHC Scales with Micron-sized Extra Dimensions,JHEP10(2011) 119 [1105.2107]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  8. [8]

    Moduli Stabilisation for Chiral Global Models

    M. Cicoli, C. Mayrhofer and R. Valandro,Moduli Stabilisation for Chiral Global Models, JHEP02(2012) 062 [1110.3333]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  9. [9]

    The String Landscape and the Swampland

    C. Vafa,The string landscape and the swampland,hep-th/0509212

    work page internal anchor Pith review Pith/arXiv arXiv

  10. [10]

    Montero, C

    M. Montero, C. Vafa and I. Valenzuela,The dark dimension and the swampland,JHEP02 (2023) 022 [2205.12293]

    work page arXiv 2023

  11. [11]

    On the Geometry of the String Landscape and the Swampland

    H. Ooguri and C. Vafa,On the geometry of the string landscape and the swampland,Nucl. Phys. B766(2007) 21 [hep-th/0605264]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  12. [12]

    L¨ ust, E

    D. L¨ ust, E. Palti and C. Vafa,Ads and the swampland,Phys. Lett. B797(2019) 134867 [1906.05225]

    work page arXiv 2019

  13. [13]

    S.-J. Lee, W. Lerche and T. Weigand,Emergent strings from infinite distance limits,JHEP 02(2022) 190 [1910.01135]

    work page arXiv 2022

  14. [14]

    Dark energy from string theory: an introductory review

    D. Andriot,Dark energy from string theory: an introductory review,2603.25797

    work page internal anchor Pith review Pith/arXiv arXiv

  15. [15]

    Brinkmann, M

    M. Brinkmann, M. Cicoli, G. Dibitetto and F.G. Pedro,Stringy multifield quintessence and the Swampland,JHEP11(2022) 044 [2206.10649]

    work page arXiv 2022

  16. [16]

    Cicoli, G

    M. Cicoli, G. Dibitetto and F.G. Pedro,Out of the Swampland with Multifield Quintessence?,JHEP10(2020) 035 [2007.11011]

    work page arXiv 2020

  17. [17]

    Cicoli, F

    M. Cicoli, F. Cunillera, A. Padilla and F.G. Pedro,Quintessence and the Swampland: The Parametrically Controlled Regime of Moduli Space,Fortsch. Phys.70(2022) 2200009 [2112.10779]

    work page arXiv 2022

  18. [18]

    G. Shiu, F. Tonioni and H.V. Tran,Accelerating universe at the end of time,Phys. Rev. D 108(2023) 063527 [2303.03418]

    work page arXiv 2023

  19. [19]

    G. Shiu, F. Tonioni and H.V. Tran,Late-time attractors and cosmic acceleration,Phys. Rev. D108(2023) 063528 [2306.07327]. – 43 –

    work page arXiv 2023

  20. [20]

    G. Shiu, F. Tonioni and H.V. Tran,Analytic bounds on late-time axion-scalar cosmologies, JHEP09(2024) 158 [2406.17030]

    work page arXiv 2024

  21. [21]

    Burgess, M

    C.P. Burgess, M. Cicoli, D. Ciupke, S. Krippendorf and F. Quevedo,UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity,Fortsch. Phys.68(2020) 2000076 [2006.06694]

    work page arXiv 2020

  22. [22]

    Dudas, S

    E. Dudas, S. Parameswaran and M. Serra,The Cosmological Constant and Dark Dimensions from Non-Supersymmetric Strings,2512.20570

    work page arXiv

  23. [23]

    Towards the Realization of the Dark Dimension Scenario in Ho\v{r}ava-Witten Theory

    R. Blumenhagen and A. Paraskevopoulou,Towards the Realization of the Dark Dimension Scenario in Hoˇ rava-Witten Theory,2605.11068

    work page internal anchor Pith review Pith/arXiv arXiv

  24. [24]

    de Sitter Vacua in String Theory

    S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi,De Sitter vacua in string theory,Phys. Rev. D68(2003) 046005 [hep-th/0301240]

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  25. [25]

    De Sitter from T-branes

    M. Cicoli, F. Quevedo and R. Valandro,De Sitter from T-branes,JHEP03(2016) 141 [1512.04558]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  26. [26]

    A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications

    D. Gallego, M.C.D. Marsh, B. Vercnocke and T. Wrase,A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications,JHEP10(2017) 193 [1707.01095]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  27. [27]

    De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects

    M. Cicoli, A. Maharana, F. Quevedo and C.P. Burgess,De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects,JHEP06(2012) 011 [1203.1750]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  28. [28]

    Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications

    M. Cicoli, M. Kreuzer and C. Mayrhofer,Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications,JHEP02(2012) 002 [1107.0383]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  29. [29]

    Cicoli, F

    M. Cicoli, F. Quevedo, R. Savelli, A. Schachner and R. Valandro,Systematics of theα’ expansion in F-theory,JHEP08(2021) 099 [2106.04592]

    work page arXiv 2021

  30. [30]

    Ebelt, S

    J. Ebelt, S. Krippendorf and A. Schachner,W0 sample = np.random.normal(0,1)?,Phys. Lett. B855(2024) 138786 [2307.15749]

    work page arXiv 2024

  31. [31]

    Chauhan, M

    A. Chauhan, M. Cicoli, S. Krippendorf, A. Maharana, P. Piantadosi and A. Schachner, Deep observations of the Type IIB flux landscape,JHEP07(2025) 271 [2501.03984]

    work page arXiv 2025

  32. [32]

    Chauhan, M

    A. Chauhan, M. Cicoli, S. Krippendorf, A. Maharana, P. Piantadosi and A. Schachner, Parameter compression in the flux landscape,2603.04941

    work page arXiv

  33. [33]

    Coughlan, W

    G.D. Coughlan, W. Fischler, E.W. Kolb, S. Raby and G.G. Ross,Cosmological Problems for the Polonyi Potential,Phys. Lett. B131(1983) 59

    1983

  34. [34]

    Cosmological Implications of Dynamical Supersymmetry Breaking

    T. Banks, D.B. Kaplan and A.E. Nelson,Cosmological implications of dynamical supersymmetry breaking,Phys. Rev. D49(1994) 779 [hep-ph/9308292]

    work page internal anchor Pith review Pith/arXiv arXiv 1994

  35. [35]

    Model Independent Properties and Cosmological Implications of the Dilaton and Moduli Sectors of 4-d Strings

    B. de Carlos, J.A. Casas, F. Quevedo and E. Roulet,Model independent properties and cosmological implications of the dilaton and moduli sectors of 4-d strings,Phys. Lett. B318 (1993) 447 [hep-ph/9308325]

    work page internal anchor Pith review Pith/arXiv arXiv 1993

  36. [36]

    Hidden Sectors in String Theory: Kinetic Mixings, Fifth Forces and Quintessence

    B.S. Acharya, A. Maharana and F. Muia,Hidden Sectors in String Theory: Kinetic Mixings, Fifth Forces and Quintessence,JHEP03(2019) 048 [1811.10633]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  37. [37]

    Perturbative moduli stabilisation in type IIB/F-theory framework

    I. Antoniadis, Y. Chen and G.K. Leontaris,Perturbative moduli stabilisation in type IIB/F-theory framework,Eur. Phys. J. C78(2018) 766 [1803.08941]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  38. [38]

    Antoniadis, Y

    I. Antoniadis, Y. Chen and G.K. Leontaris,Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory,JHEP01(2020) 149 [1909.10525]. – 44 –

    work page arXiv 2020

  39. [39]

    Global Embedding of Fibre Inflation Models

    M. Cicoli, F. Muia and P. Shukla,Global embedding of fibre inflation models,JHEP11 (2016) 182 [1611.04612]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  40. [40]

    Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials

    K. Becker, M. Becker, M. Haack and J. Louis,Supersymmetry breaking and alpha-prime corrections to flux induced potentials,JHEP06(2002) 060 [hep-th/0204254]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  41. [41]

    Cicoli, F

    M. Cicoli, F. Cunillera, A. Padilla and F.G. Pedro,Quintessence and the swampland: The numerically controlled regime of moduli space,Fortschritte der Physik70(2022) 2200008 [2112.10783]

    work page arXiv 2022

  42. [42]

    Natural Quintessence in String Theory

    M. Cicoli, F.G. Pedro and G. Tasinato,Natural Quintessence in String Theory,JCAP07 (2012) 044 [1203.6655]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  43. [43]

    Cicoli, F

    M. Cicoli, F. Cunillera, A. Padilla and F.G. Pedro,From inflation to quintessence: a history of the universe in string theory,JHEP10(2024) 141 [2407.03405]

    work page arXiv 2024

  44. [44]

    Akrami, G

    Y. Akrami, G. Alestas and S. Nesseris,Has DESI detected exponential quintessence?, 2504.04226

    work page arXiv

  45. [45]

    Carta, A

    F. Carta, A. Mininno and P. Shukla,Systematics of perturbatively flat flux vacua for CICYs,JHEP08(2022) 297 [2201.10581]

    work page arXiv 2022

  46. [46]

    Gonzalo, M

    E. Gonzalo, M. Montero, G. Obied and C. Vafa,Dark dimension gravitons as dark matter, JHEP11(2023) 109 [2209.09249]

    work page arXiv 2023

  47. [47]

    Evolving Dark Sector and the Dark Dimension Scenario

    A. Bedroya, G. Obied, C. Vafa and D.H. Wu,Evolving Dark Sector and the Dark Dimension Scenario,2507.03090

    work page internal anchor Pith review Pith/arXiv arXiv

  48. [48]

    Back to the origins of brane–antibrane inflation,

    M. Cicoli, C. Hughes, A.R. Kamal, F. Marino, F. Quevedo, M. Ramos-Hamud et al.,Back to the origins of brane–antibrane inflation,Eur. Phys. J. C85(2025) 315 [2410.00097]

    work page arXiv 2025

  49. [49]

    F-theory Vacua and $\alpha'$-Corrections

    M. Weissenbacher,F-theory vacua andα ′-corrections,JHEP04(2020) 032 [1901.04758]

    work page internal anchor Pith review Pith/arXiv arXiv 2020

  50. [50]

    Weissenbacher,Onα ′-effects fromD-branes in4dN= 1,JHEP11(2020) 076 [2006.15552]

    M. Weissenbacher,Onα ′-effects fromD-branes in4dN= 1,JHEP11(2020) 076 [2006.15552]

    work page arXiv 2020

  51. [51]

    On \alpha' corrections in N=1 F-theory compactifications

    T.W. Grimm, R. Savelli and M. Weissenbacher,On\alpha’ corrections in N=1 F-theory compactifications,Phys. Lett. B725(2013) 431 [1303.3317]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  52. [52]

    Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications

    M. Cicoli, J.P. Conlon and F. Quevedo,Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications,JHEP01(2008) 052 [0708.1873]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  53. [53]

    Gauge Threshold Corrections for Local Orientifolds

    J.P. Conlon and E. Palti,Gauge Threshold Corrections for Local Orientifolds,JHEP09 (2009) 019 [0906.1920]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  54. [54]

    Gauge Threshold Corrections for Local String Models

    J.P. Conlon,Gauge Threshold Corrections for Local String Models,JHEP04(2009) 059 [0901.4350]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  55. [55]

    Klaewer, S.-J

    D. Klaewer, S.-J. Lee, T. Weigand and M. Wiesner,Quantum corrections in 4dN= 1 infinite distance limits and the weak gravity conjecture,JHEP03(2021) 252 [2011.00024]

    work page arXiv 2021

  56. [56]

    Leontaris and P

    G.K. Leontaris and P. Shukla,Stabilising all K¨ ahler moduli in perturbative LVS,JHEP07 (2022) 047 [2203.03362]

    work page arXiv 2022

  57. [57]

    Braun and R

    A.P. Braun and R. Valandro,G 4 flux, algebraic cycles and complex structure moduli stabilization,JHEP01(2021) 207 [2009.11873]

    work page arXiv 2021

  58. [58]

    String Theory Realizations of the Nilpotent Goldstino

    R. Kallosh, F. Quevedo and A.M. Uranga,String Theory Realizations of the Nilpotent Goldstino,JHEP12(2015) 039 [1507.07556]. – 45 –

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  59. [59]

    Global String Embeddings for the Nilpotent Goldstino

    I. Garc´ ıa-Etxebarria, F. Quevedo and R. Valandro,Global String Embeddings for the Nilpotent Goldstino,JHEP02(2016) 148 [1512.06926]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  60. [60]

    AbdusSalam, C

    S. AbdusSalam, C. Crin` o and P. Shukla,On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes,JHEP03(2023) 132 [2206.12889]

    work page arXiv 2023

  61. [61]

    Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift

    M. Cicoli, A. Grassi, O. Lacombe and F.G. Pedro,Chiral global embedding of Fibre Inflation with D3uplift,JHEP06(2025) 090 [2412.08723]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  62. [62]

    Crin` o, F

    C. Crin` o, F. Quevedo and R. Valandro,On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario,JHEP03(2021) 258 [2010.15903]

    work page arXiv 2021

  63. [63]

    D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation

    M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro,D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation,JHEP09(2012) 019 [1206.5237]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  64. [64]

    D3/D7 Branes at Singularities: Constraints from Global Embedding and Moduli Stabilisation

    M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro,D3/D7 Branes at Singularities: Constraints from Global Embedding and Moduli Stabilisation,JHEP07 (2013) 150 [1304.0022]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  65. [65]

    Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter

    M. Cicoli, D. Klevers, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro,Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter,JHEP05(2014) 001 [1312.0014]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  66. [66]

    Global Orientifolded Quivers with Inflation

    M. Cicoli, I. Garc` ıa-Etxebarria, C. Mayrhofer, F. Quevedo, P. Shukla and R. Valandro, Global Orientifolded Quivers with Inflation,JHEP11(2017) 134 [1706.06128]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  67. [67]

    Cicoli, I.G

    M. Cicoli, I.G. Etxebarria, F. Quevedo, A. Schachner, P. Shukla and R. Valandro,The Standard Model quiver in de Sitter string compactifications,JHEP08(2021) 109 [2106.11964]

    work page arXiv 2021

  68. [68]

    Moduli Vacuum Misalignment and Precise Predictions in String Inflation

    M. Cicoli, K. Dutta, A. Maharana and F. Quevedo,Moduli Vacuum Misalignment and Precise Predictions in String Inflation,JCAP08(2016) 006 [1604.08512]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  69. [69]

    Chiral Global Embedding of Fibre Inflation Models

    M. Cicoli, D. Ciupke, V.A. Diaz, V. Guidetti, F. Muia and P. Shukla,Chiral global embedding of fibre inflation models,JHEP11(2017) 207 [1709.01518]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  70. [70]

    A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List

    R. Altman, J. Gray, Y.-H. He, V. Jejjala and B.D. Nelson,A calabi-yau database: Threefolds constructed from the kreuzer-skarke list,JHEP02(2015) 158 [1411.1418]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  71. [71]

    Oguiso,On algebraic fiber space structures on a calabi-yau 3-fold,International Journal of Mathematics4(1993) 439

    K. Oguiso,On algebraic fiber space structures on a calabi-yau 3-fold,International Journal of Mathematics4(1993) 439

    1993

  72. [72]

    Anomalies in String Theory with D-Branes

    D.S. Freed and E. Witten,Anomalies in string theory with D-branes,Asian J. Math.3 (1999) 819 [hep-th/9907189]

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  73. [73]

    Crin` o, F

    C. Crin` o, F. Quevedo, A. Schachner and R. Valandro,A database of Calabi-Yau orientifolds and the size of D3-tadpoles,JHEP08(2022) 050 [2204.13115]

    work page arXiv 2022

  74. [74]

    D-brane Deconstructions in IIB Orientifolds

    A. Collinucci, F. Denef and M. Esole,D-brane Deconstructions in IIB Orientifolds,JHEP 02(2009) 005 [0805.1573]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  75. [75]

    Four-modulus "Swiss Cheese" chiral models

    A. Collinucci, M. Kreuzer, C. Mayrhofer and N.-O. Walliser,Four-modulus ’Swiss Cheese’ chiral models,JHEP07(2009) 074 [0811.4599]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  76. [76]

    G-flux in F-theory and algebraic cycles

    A.P. Braun, A. Collinucci and R. Valandro,G-flux in F-theory and algebraic cycles,Nucl. Phys. B856(2012) 129 [1107.5337]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  77. [77]

    D-terms and F-terms from D7-brane fluxes

    H. Jockers and J. Louis,D-terms and F-terms from D7-brane fluxes,Nucl. Phys. B718 (2005) 203 [hep-th/0502059]. – 46 –

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  78. [78]

    M. Berg, M. Haack and B. Kors,String loop corrections to kahler potentials in orientifolds, JHEP11(2005) 030 [hep-th/0508043]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  79. [79]

    M. Berg, M. Haack and E. Pajer,Jumping through loops: On soft terms from large volume compactifications,JHEP09(2007) 031 [0704.0737]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  80. [80]

    Higher-Derivative Supergravity and Moduli Stabilization

    D. Ciupke, J. Louis and A. Westphal,Higher-derivative supergravity and moduli stabilization,JHEP10(2015) 094 [1505.03092]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

Showing first 80 references.