Extended Holographic R\'{e}nyi Entropy and hyperbolic black hole with scalar hair
High Energy Physics - Theory
2024-10-24 v2 General Relativity and Quantum Cosmology
Abstract
We study the extended thermodynamics of the hyperbolic black hole with scalar hair and obtain the extended holographic R\'{e}nyi entropy of holographic conformal field theories with scalar hair. We analyze the behaviors of the extended holographic R\'{e}nyi entropy in terms of holographic calculations. Moreover, we generalize the capacity of entanglement from the extended R\'{e}nyi entropy and show that it maps to the heat capacity of the thermal conformal field theories on the hyperbolic space.
Keywords
Cite
@article{arxiv.2305.00157,
title = {Extended Holographic R\'{e}nyi Entropy and hyperbolic black hole with scalar hair},
author = {Dao-Quan Sun},
journal= {arXiv preprint arXiv:2305.00157},
year = {2024}
}