Aspects of Warped AdS$_3$/CFT$_2$ Correspondence

Understand

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity (NMG).

• Even though there are higher derivative terms in these theories, the thermodynamics method is still effective.
• It gives consistent results with the ones obtained by using asymptotical symmetry group (ASG) analysis.
• In doing the ASG analysis we develop a brute-force realization of the Barnich-Brandt-Compere formalism with Mathematica code, which also allows us to calculate the masses and the angular momenta of the black holes.