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<p>We revisit the computation of the string partition function in AdS<sub>3</sub> focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS<sub>3</sub> 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<sub>3</sub>/CFT<sub>2</sub> 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.</p>

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Strings in AdS3: one-loop partition function and near-extremal BTZ thermodynamics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月2日

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  • Christian Ferko,
  • Sameer Murthy,
  • Mukund Rangamani

摘要

We revisit the computation of the string partition function in AdS3 focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS3 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 AdS3/CFT2 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.