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arXiv · 2303.15372

Revisiting the Thermal AdS partition function

Roshan Kaundinya·Omkar Nippanikar·Akash Singh·K. P. Yogendran
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Abstract

We rewrite the worldsheet torus partition function of the Thermal AdS CFT by isolating the boundary parameters. Using this, we show that the spectrum of the Euclidean BTZ black hole and Lorentzian AdS3 can be extracted -- the latter as a zero temperature limit. A similar procedure recovers the Lorentzian BTZ spectrum proposed in an earlier work. We then use our expression to construct a boundary modular invariant expression as a Poincar\'e series.

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Roshan Kaundinya, Omkar Nippanikar, Akash Singh, K. P. Yogendran. 2023-03-27. Revisiting the Thermal AdS partition function. https://arxiv.org/abs/2303.15372

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