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Strings in AdS₃: one-loop partition function and near-extremal BTZ thermodynamics
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Strings in AdS₃: one-loop partition function and near-extremal BTZ thermodynamics
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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.
Forward citations
Cited by 4 Pith papers
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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...
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Revisiting near-extremal and near-BPS black holes in AdS3 supergravity
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.
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