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

High Energy Physics - Theory 2025-01-09 v1 General Relativity and Quantum Cosmology

Abstract

We find the non-extremal charged rotating black holes in quadratic f(T)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,Z)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)f(T) gravity.

Keywords

Cite

@article{arxiv.2501.03366,
  title  = {Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity},
  author = {B. H. Fahim and A. M. Ghezelbash},
  journal= {arXiv preprint arXiv:2501.03366},
  year   = {2025}
}

Comments

31 pages, 8 figures