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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

Partition functions and elliptic genera from supergravity

classification hep-th
keywords functionspartitionincludedanalysisaspectsbesidesbetterbulk
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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

    hep-th 2026-05 unverdicted novelty 6.0

    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. Revisiting near-extremal and near-BPS black holes in AdS3 supergravity

    hep-th 2026-04 unverdicted novelty 6.0

    In AdS3 supergravity, the gravitational path integral at low temperatures in the near-horizon region is inequivalent to that of the BTZ background, with distinct contributions from bosonic fluctuations, Chern-Simons f...

  3. Revisiting near-extremal and near-BPS black holes in AdS3 supergravity

    hep-th 2026-04 unverdicted novelty 5.0

    Quantum analysis of AdS3 supergravity path integrals at low temperature shows near-horizon region inequivalent to BTZ and sharpens near-extremal versus near-BPS distinctions.

  4. Chern-Simons propagators in AdS$_3$

    hep-th 2025-12 conditional novelty 5.0

    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.