Year: 2021
Type: article
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 $\stackrel{^}{u}(1)\ifmmode\times\else\texttimes\fi{}SL(2,R{)}_{R}$ 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.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3198293453