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Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole

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arxiv hep-th/0005183 v1 pith:64OS4B3O submitted 2000-05-19 hep-th

classification hep-th
keywords euclideanbackgroundsblackfunctionholeone-looppartitionstrings
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS_3 backgrounds which are quotients of H_3 (Euclidean AdS_3). The one-loop partition function is modular invariant and we can read off the spectrum which is consistent to that found in hep-th/0001053. We see long strings and discrete states in agreement with the expectations.

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Cited by 8 Pith papers

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

  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. $J\bar{J}$-deformation as a Riemann bilinear dressing

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Reformulates J bar J deformation in CFTs as Riemann-bilinear operator dressing that preserves modular properties on Riemann surfaces and matches bare/renormalized perturbation theory.

  3. Circular strings, magnons, plane waves and local quenches in BTZ

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    A coordinate map from AdS3 to BTZ allows construction of circular strings, magnons, and plane waves whose SL(2,R) charges are related by a boost, dual to asymmetric local quenches in the thermal CFT.

  4. The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Normalized Krylov-Wigner negativity rate matches Krylov variance growth and equals tidal stretch rate R ∝ C P_ρ if and only if Δ=1 in AdS3.

  5. Non-supersymmetric strings on AdS$_3$: a world-sheet perspective

    hep-th 2025-12 conditional novelty 6.0 of 10

    On AdS3×S3×S3×S1, a Wilson-line deformation of the Spin(16)×Spin(16)⋊Z2 heterotic string produces a level-matched tachyon, so the classical moduli space contains unstable regions.

  6. Strings near BTZ black holes: A Carrollian Chronicle

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    The paper classifies families of closed bosonic string solutions in the near-horizon non-extremal BTZ spacetime and identifies novel features via string-Carroll expansion.

  7. 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...

  8. Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality

    hep-th 2026-01 unverdicted novelty 2.0 of 10

    Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.

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