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Localization techniques in quantum field theories

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arxiv 1608.02952 v5 pith:JZAHMQDW submitted 2016-08-09 hep-th math-phmath.MP

Localization techniques in quantum field theories

classification hep-th math-phmath.MP
keywords fieldlocalizationquantumtechniqueschaptersforewordindividualrelation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Two-point functions in $4-2\,\varepsilon$ dimensions from localization

    hep-th 2026-06 unverdicted novelty 7.0

    Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).

  2. $S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

    hep-th 2026-03 conditional novelty 7.0

    Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.

  3. Bootstrapping ABJM theory

    hep-th 2026-02 unverdicted novelty 7.0

    A bootstrap approach applied to ABJM theory yields analytic derivations of instanton corrections to the free energy and to 1/2 and 1/6 BPS Wilson loops, confirming relations previously known only conjecturally.

  4. Shell formulas for instantons and gauge origami

    hep-th 2025-12 unverdicted novelty 7.0

    A new shell formula unifies and delivers explicit closed-form expressions plus recursions for instanton partition functions in 5d SYM and multiple gauge origami configurations using arbitrary-dimensional Young diagrams.

  5. Defects, nested instantons and comet shaped quivers

    hep-th 2019-07 unverdicted novelty 7.0

    Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bund...

  6. Finite scalar field theory with SU(1,1) spacetime symmetry from near-BPS limits of $\mathcal{N}=4$ SYM

    hep-th 2026-05 unverdicted novelty 6.0

    A non-Lorentzian scalar QFT with SU(1,1) symmetry obtained from N=4 SYM is finite at all orders in perturbation theory.

  7. Superform Approach to Equivariant Localization in Supergravity

    hep-th 2026-05 unverdicted novelty 6.0

    Closed superforms in superspace generate equivariantly closed polyforms for localization in off-shell 4d N=2 conformal supergravity, applied to vector, linear, chiral, and BF multiplets.

  8. Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors

    hep-th 2026-05 unverdicted novelty 6.0

    Localization matrix models yield resummed strong-coupling expressions for observables in N=2 theories with antisymmetric and fundamental matter, using an effective 't Hooft coupling at large N.

  9. The nonlocal magic of a holographic Schwinger pair

    hep-th 2026-05 unverdicted novelty 6.0

    Holographic Schwinger pair creation generates nonlocal magic for spacetime dimensions d>2, as shown by a non-flat entanglement spectrum that can be read from the probe brane free energy.

  10. One-loop divergences for KK theories on $\mathrm{AdS}\times S$ spaces; a reanalysis of $\mathrm{AdS}_4 \times S^7\,\big/$ ABJM precision holography

    hep-th 2026-05 unverdicted novelty 4.0

    New framework for one-loop log divergences on AdS x S spaces recovers the 1/4 log N ABJM correction from 11d SUGRA in 4d language.