Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family

TL;DR

This paper investigates the conformal symmetry of dyonic Kerr-Sen black holes, demonstrating that their properties match predictions from conformal field theory, thus supporting the holographic duality between black holes and CFTs.

Contribution

It reveals the $SL(2,R)\times SL(2,R)$ symmetry in dyonic Kerr-Sen black holes and confirms the black hole/CFT correspondence by matching entropy and absorption cross-sections.

Findings

Conformal symmetry is exhibited in the solution space of the black holes.

The Bekenstein-Hawking entropy matches the Cardy formula predictions.

Absorption cross-sections agree with CFT calculations.

Abstract

Motivated by advanced progress in the holographic theory between rotating black holes and CFT, we explore the conformal invariance on dyonic Kerr-Sen black hole and its gauged family. We consider a neutral massless scalar probe on the black holes' background within the low-frequency limit and exhibit that the solution space possesses $SL(2,R)\times SL(2,R)$ isometry. The periodic identification of the azimuthal angle corresponds to the spontaneous conformal symmetry breaking by temperatures $T_L,T_R$. Using the computation of the central charges on Ref. [25] that we recalculate by considering the contributions of all associated fields, we successfully derive the Bekenstein-Hawking entropy from Cardy entropy formula. Furthermore, we also calculate the absorption cross-section from gravity side for generic non-extremal dyonic Kerr-Sen black hole and near-extremal gauged dyonic Kerr-Sen black hole. Our calculations show that those quantities are in a perfect match with the calculation from CFT. Therefore, our findings further support the duality between rotating black holes and CFTs.