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

Muhammad Fitrah Alfian Rangga Sakti

doi:10.1140/epjc/s10052-023-11412-2

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 255
https://doi.org/10.1140/epjc/s10052-023-11412-2

Regular Article - Theoretical Physics

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

Muhammad Fitrah Alfian Rangga Sakti^a

High Energy Physics Theory Group, Department of Physics, Faculty of Science, Chulalongkorn University, 10330, Bangkok, Thailand

^a fitrahalfian@gmail.com

Received: 13 November 2022
Accepted: 19 March 2023
Published online: 27 March 2023

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 $S L (2, R) \times S L (2, R)$ $SL(2,R)\times SL(2,R)$ isometry. The periodic identification of the azimuthal angle corresponds to the spontaneous conformal symmetry breaking by temperatures $T_{L}, T_{R}$ $$T_L,T_R$$ . Using the computation of the central charges on Sakti and Burikham (Phys Rev D 106:106006, 2022) 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.

© The Author(s) 2023

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