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arXiv · 2109.03633

New Chiral Generalized Minimal Massive Gravity

Mohammad Reza Setare·Seyed Naseh Sajadi·Suat Dengiz·Ercan Kilicarslan
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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.

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Mohammad Reza Setare, Seyed Naseh Sajadi, Suat Dengiz, Ercan Kilicarslan. 2021-09-08. New Chiral Generalized Minimal Massive Gravity. https://doi.org/10.1103/physrevd.104.066004

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