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Near-Extremal Freudenthal Duality

Arghya ChattopadhyayTaniya MandalAlessio Marrani
Dec 2022
摘要
Freudenthal duality is, as of now, the unique non-linear map onelectric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawkingentropy of extremal black holes in Maxwell-Einstein-scalar theories in fourspace-time dimensions. In this paper, we present a consistent generalization ofFreudenthal duality to near-extremal black holes, whose entropy is obtainedwithin a Jackiw-Teitelboim gravity upon dimensional reduction. We name such ageneralization near-extremal Freudenthal duality. Upon such a duality, twonear-extremal black holes with two different (and both small) temperatures havethe same entropy when their e.m. charges are related by a Freudenthaltransformation. By exploiting Descartes' rule of signs as well as Sturm'sTheorem, we show that our formulation of the near-extremal Freudenthal dualityis analytical and unique.
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