Central Charges in 2d Reduced Cosmological Massive Gravity

TL;DR

The paper studies central charges of BTZ and warped AdS3 black holes in a 2D reduction of cosmological massive gravity. The authors KK-reduce the 3D theory with higher-derivative terms to a 2D Maxwell–dilaton model and use the entropy function method to obtain extremal AdS2 solutions and their entropies, then apply the Cardy formula to read off the central charges. They recover the standard BTZ central charge and propose a warped AdS3 central charge for the second class of solutions, with c_L=c_R in all cases. The work demonstrates how higher-curvature MG terms influence entropy and holographic data, even without a bare cosmological constant, and provides a practical route to connect 3D MG to 2D holographic observables.

Abstract

In the dimensionally reduced model of the 2+1 dimensional cosmological massive gravity, we obtain the central charges of the two types of the black hole based on the entropy function method. One is for the BTZ black hole and the other one is actually for the warped AdS$_3$ black hole.