Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity

TL;DR

This paper explores the holographic duality of non-extremal and extremal charged rotating black holes in quadratic $f(T)$ gravity, revealing a unified hidden conformal field theory generated by the $SL(2,\

Contribution

It introduces a generalized hidden conformal symmetry in quadratic $f(T)$ gravity, unifying dual CFT descriptions for black holes and extending previous Einstein gravity results.

Findings

Two dual CFTs for non-extremal black holes

Unified CFT for extremal black holes in quadratic $f(T)$ gravity

Dual quantities calculated in the extremal limit

Abstract

We find the non-extremal charged rotating black holes in quadratic $f(T)$ gravity are holographically dual to two different hidden conformal field theories. The two conformal field theories can be merged to find a very general hidden conformal field theory, which is generated by the $SL(2,\mathbb{Z})$ modular group. We also carry out the the calculation to the extremal limit of the black holes, and find the corresponding dual quantities. Contrary to the existence of two different dual conformal field theories for the extremal charged rotating black holes in Einstein gravity, we find only one dual theory exists for the extremal charged rotating black holes in quadratic $f(T)$ gravity.