New Chiral Generalized Minimal Massive Gravity

Abstract

We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger boundary conditions employing a semi-product of a Virasoro and a $\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We calculate the entropy of BTZ black holes via the degeneracy of states belonging to a Warped-CFT. We compute the linearized energy excitations by using the representations of the algebra $\hat{u}(1)\times SL(2,R{)}_R$ 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.

10 pages, references added, published in Phys. Rev. D

References in corpus (6)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Minimal Massive 3D Gravity
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Weyl-gauging of Topologically Massive Gravity