Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity

Abstract

The nonextremal Kerr black holes have been considered to be holographically dual to two-dimensional (2D) conformal field theories (CFTs). In this paper, we extend the holography to the case of an asymptotically anti--de Sitter (AdS) rotating charged black holes in $f$($T$) gravity, where $f(T)=T+\alpha T^2$, where $\alpha$ is a constant. We find that the scalar wave radial equation at the near-horizon region implies the existence of the 2D conformal symmetries. We note that the $2\pi$ identification of the azimuthal angle $\varphi$ in the black hole line element, corresponds to a spontaneous breaking of the conformal symmetry by left and right temperatures $T_L$ and $T_R$, respectively. We show that choosing proper central charges for the dual CFT, we produce exactly the macroscopic Bekenstein-Hawking entropy from the microscopic Cardy entropy for the dual CFT. These observations suggest that the rotating charged AdS black hole in $f$($T$) gravity is dual to a 2D CFT at finite temperatures $T_L$ and $T_R$ for a specific value of mass $M$, rotational, charge, and $f$($T$) parameters, $\Omega$, $Q$, and $|\alpha |$, respectively.

21 pages, 8 figures; v2: references added

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• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
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