Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory

TL;DR

This paper explores the thermodynamics of near-extremal Kerr-Sen black holes using the AdS2/CFT1 correspondence, deriving entropy and temperature from asymptotic symmetries and quantum flux analysis.

Contribution

It introduces a novel approach to compute black hole entropy and temperature via asymptotic symmetry analysis in the AdS2/CFT1 framework for Kerr-Sen black holes.

Findings

Derived the Virasoro algebra with a calculable central charge.

Successfully computed the near-extremal Kerr-Sen entropy using the Cardy formula.

Analyzed quantum fluxes to determine the Hawking temperature.

Abstract

We compute the asymptotic symmetry group of the four dimensional near-extremal Kerr-Sen black hole within an AdS2/CFT1 correspondence. We do this by performing a Robinson-Wilczek two dimensional reduction and construct a quantum theory of the remaining field content. The resulting energy momentum tensor generates an asymptotic Virasoro algebra, to s-wave, with a calculable central extension. This center in conjunction with the proper regularized lowest Virasoro eigen-mode yields the near-extremal Kerr-Sen entropy via the statistical Cardy formula. Finally we analyze quantum holomorphic fluxes of the dual CFT giving rise to a finite Hawking temperature weighted by the central charge of the near-extremal Kerr-Sen metric.