Cosmological New Massive Gravity and Galilean Conformal Algebra in 2 Dimensions

Abstract EN

We consider the realization of 2-dimensional Galilean conformal algebra (GCA2) on the boundary of cosmological new massive gravity.

At first, we consider the contracted BTZ black hole solution.

We obtain entropy formula for the GCA2 in terms of contracted scaling dimension Δ and central charge C1.

This entropy formula exactly matches with the nonrelativistic limit of Bekenstein-Hawking entropy of BTZ black hole.

Then, we extend our study to the contracted warped AdS3 black hole solution of CNMG.

We obtain the entropy of dual GCA2 in terms of central charges and finite temperatures, T1, T2.

Again, this expression coincides with the nonrelativistic limit of Bekenstein-Hawking entropy formula of warped AdS3 black hole.