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Sasaki-Einstein Manifolds

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arxiv 1004.2461 v2 pith:5M2T4FWV submitted 2010-04-14 math.DG hep-th

Sasaki-Einstein Manifolds

James Sparks This is my paper
classification math.DG hep-th
keywords sasaki-einsteinmanifoldsarticlebeenconstructingdecadegeometryincludes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.

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Cited by 6 Pith papers

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

  1. Charged and rotating near-horizon geometries in five dimensions

    hep-th 2026-06 conditional novelty 7.0

    New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.

  2. Einstein-Kropina Metrics and Their Application in Finsler Gravity

    math-ph 2026-06 unverdicted novelty 6.0

    The paper classifies Einstein-Kropina metrics satisfying the Pfeifer-Wohlfarth vacuum Finsler gravity equation, proving they are Berwald and Ricci-flat with vanishing cosmological constant in dimensions five and higher.

  3. Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$

    hep-th 2026-06 unverdicted novelty 5.0

    Establishes equivalence of BPS conditions for M2-branes to associativity in G2-structures and computes one-loop partition functions via transversely elliptic complexes for invariant cycles in Sasaki-Einstein manifolds...

  4. Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts

    hep-th 2026-04 unverdicted novelty 5.0

    G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.

  5. Stability of non-supersymmetric vacua from calibrations

    hep-th 2025-07 unverdicted novelty 5.0

    Uses calibrations to protect examined non-supersymmetric AdS vacua in type II string theory from D-brane mediated decays, including abelian bound states.

  6. Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$

    hep-th 2026-06 unverdicted novelty 4.0

    BPS conditions for M2-branes wrapping cycles in weak G2 manifolds are equivalent to associativity, with one-loop effects for invariant cycles in Sasaki-Einstein orbifolds expressed via equivariant indices and recoveri...