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New chiral generalized minimal massive gravity

2021/09/02 by M. R. Setare, Mohammad Reza Setare, S. N. Sajadi +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.104.066004

published as Physical Review D 104, 066004 (2021 · 10 pages, references added, published in Phys. Rev. D

openalex publication_date 2021/09/02 · arxiv created 2021/09/09 · arxiv updated 2021/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the generalized minimal massive gravity (GMMG) in Compere, Song, and Strominger boundary conditions employing a semiproduct of Virasoro and \stackrel^u(1) Kac-Moody current algebras as the asymptotic symmetry algebra. We calculate the entropy of Ba\~nados-Teitelboim-Zanelli black holes via the degeneracy of states belonging to a Warped conformal field theory. We compute the linearized energy excitations by using the representations of the algebra \stackrel^u(1)\ifmmode×\else\texttimes\fiSL(2,R)R and show that energies of excitations are non-negative at (two) chiral points in the parameter space. At these special points, the charge algebra is described by either Virasoro algebra or Kac-Moody algebra. We also consider some special limits of the GMMG theory which correspond to 2+1-dimensional massive gravity theories such as new massive and minimal massive gravity theories.

Citations