Near-Extremal Freudenthal Duality
Abstract
Freudenthal duality is, as of now, the unique non-linear map on electric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawking entropy of extremal black holes in Maxwell-Einstein-scalar theories in four space-time dimensions. In this paper, we present a consistent generalization of Freudenthal duality to near-extremal black holes, whose entropy is obtained within a Jackiw-Teitelboim gravity upon dimensional reduction. We name such a generalization near-extremal Freudenthal duality. Upon such a duality, two near-extremal black holes with two different (and both small) temperatures have the same entropy when their e.m. charges are related by a Freudenthal transformation. By exploiting Descartes' rule of signs as well as Sturm's Theorem, we show that our formulation of the near-extremal Freudenthal duality is analytical and unique.
Cite
@article{arxiv.2212.13500,
title = {Near-Extremal Freudenthal Duality},
author = {Arghya Chattopadhyay and Taniya Mandal and Alessio Marrani},
journal= {arXiv preprint arXiv:2212.13500},
year = {2023}
}
Comments
29 pages, 2 figures