KdV-charged black holes
High Energy Physics - Theory
2020-06-11 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We construct black hole geometries in AdS with non-trivial values of KdV charges. The black holes are holographically dual to quantum KdV Generalized Gibbs Ensemble in 2d CFT. They satisfy thermodynamic identity and thus are saddle point configurations of the Euclidean gravity path integral. We discuss holographic calculation of the KdV generalized partition function and show that for a certain value of chemical potentials new geometries, not the conventional BTZ ones, are the leading saddles.
Keywords
Cite
@article{arxiv.2002.08368,
title = {KdV-charged black holes},
author = {Anatoly Dymarsky and Sotaro Sugishita},
journal= {arXiv preprint arXiv:2002.08368},
year = {2020}
}
Comments
30 pages, 4 figures