We study the generalized minimal massive gravity (GMMG) in Compere, Song, and Strominger boundary conditions employing a semiproduct of Virasoro and uˆð1Þ 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 uˆð1Þ × SLð2; RÞR 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 þ 1-dimensional massive gravity theories such as new massive and minimal massive gravity theories.
