Revisiting the Thermal AdS partition function
High Energy Physics - Theory
2023-03-29 v2
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.
Cite
@article{arxiv.2303.15372,
title = {Revisiting the Thermal AdS partition function},
author = {Roshan Kaundinya and Omkar Nippanikar and Akash Singh and K. P. Yogendran},
journal= {arXiv preprint arXiv:2303.15372},
year = {2023}
}