Thermodynamic duality between RN black hole and 2D dilaton gravity

TL;DR

This paper explores the thermodynamic duality between Reissner-Nordström black holes and two-dimensional dilaton gravity, establishing dual relations for thermodynamic laws and describing near-horizon thermodynamics via Jackiw-Teitelboim theory.

Contribution

It demonstrates a duality framework linking RN black hole thermodynamics to 2D dilaton gravity and describes near-horizon thermodynamics using JT theory.

Findings

Thermodynamic quantities of RN black holes derived from 2D dilaton gravity.

Dual relations of four thermodynamic laws established.

Near-horizon thermodynamics described by Jackiw-Teitelboim theory.

Abstract

All thermodynamic quantities of the Reissner-Nordstr\"om (RN) black hole can be obtained from the dilaton and its potential of two dimensional (2D) dilaton gravity. The dual relations of four thermodynamic laws are also established. Furthermore, the near-horizon thermodynamics of the extremal RN black hole is completely described by the Jackiw-Teitelboim theory which is obtained by perturbing around the AdS$_2$-horizon.