New chiral generalized minimal massive gravity

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Setare M. R., Sajadi S. N., Dengiz S., KILIÇARSLAN E.

Physical Review D, vol.104, no.6, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 104 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.1103/physrevd.104.066004
  • Journal Name: Physical Review D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, INSPEC, zbMATH
  • Uşak University Affiliated: Yes

Abstract

We study the generalized minimal massive gravity (GMMG) in Compere, Song, and Strominger boundary conditions employing a semiproduct of Virasoro and u^(1) Kac-Moody current algebras as the asymptotic symmetry algebra. We calculate the entropy of Bañados-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 u^(1)×SL(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.