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Partition functions and elliptic genera from supergravity

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arxiv hep-th/0607138 v1 pith:OV7KFZQA submitted 2006-07-20 hep-th

classification hep-th
keywords functionspartitionincludedanalysisaspectsbesidesbetterbulk
verification ladder T0 review T1 audit T2 compute T3 formal
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We develop the spacetime aspects of the computation of partition functions for string/M-theory on AdS(3) xM. Subleading corrections to the semi-classical result are included systematically, laying the groundwork for comparison with CFT partition functions via the AdS(3)/CFT(2) correspondence. This leads to a better understanding of the "Farey tail" expansion of Dijkgraaf et. al. from the point of view of bulk physics. Besides clarifying various issues, we also extend the analysis to the N=2 setting with higher derivative effects included.

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Cited by 4 Pith papers

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

  1. Complex BPS Black Holes in AdS$_3\times S^3$

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.

  2. Instability of Black Holes in AdS$_3 \times S^3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.

  3. Strings and near-extremal black holes in theories with large $\mathcal{N}=4$ superconformal symmetry

    hep-th 2025-05 conditional novelty 6.0 of 10

    A one-loop worldsheet computation on AdS3×S3×S3×S1 recovers the supergravity spectrum and boundary currents, yields a temperature-dependent BPS index for near-extremal BTZ black holes, and suggests non-unique worldshe...

  4. Chern-Simons propagators in AdS$_3$

    hep-th 2025-12 conditional novelty 5.0 of 10

    New parity-odd AdS3 spin-1 harmonics and the Chern-Simons operator relating them to parity-even ones yield explicit spectral and split representations for abelian Chern-Simons propagators.

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