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Strings in AdS$_3$: one-loop partition function and near-extremal BTZ thermodynamics

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arxiv 2408.14567 v3 pith:WD7EKRSE submitted 2024-08-26 hep-th

Christian Ferko , Sameer Murthy , Mukund Rangamani This is my paper
classification hep-th
keywords partitionboundaryfunctionstringcurrentsnear-extremalone-loopspacetime
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro currents, are captured by the one-loop partition sum. We use this to argue that the recent understanding of near-extremal black hole thermodynamics based on the gravitational path integral continues to hold for finite string length. Along the way we clarify some aspects of the AdS$_3$/CFT$_2$ duality and, in particular, deduce which bulk gauge fields lead to boundary currents. We also explain how one can interpolate between supersymmetric and thermal (Atick-Witten) fermion boundary conditions in the target space by suitably tuning rotational chemical potentials in the string partition function.

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Cited by 3 Pith papers

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

  1. A New Term in Type II Effective Action

    hep-th 2026-07 unverdicted novelty 8.0 of 10

    One-loop type II effective actions contain a dilaton times Euler-density term from superconformal ghost zero modes, resolving a black-hole index puzzle on Calabi-Yau spaces.

  2. Quantum corrections to the near-extremal thermodynamics of (warped) BTZ black holes

    hep-th 2026-07 conditional novelty 6.5 of 10

    Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC spec...

  3. Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model

    hep-th 2025-07 conditional novelty 4.0 of 10

    The authors build a dual harmonic superspace and write the off-shell (0,4) superspace actions, interactions, and ADHM instanton gauge field for the complementary ADHM instanton sigma model.

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