Cosmological New Massive Gravity and Galilean Conformal Algebra in 2-dimensions

Abstract

In the present paper we consider the realization of $2-$dimensional Galilean conformal algebra ($GC{A}_2$) on the boundary of cosmological new massive gravity. At first we consider the contracted BTZ black hole solution. We obtain entropy formula for the $GC{A}_2$ in term of contracted scaling dimension $\Delta$ and central charge $C_1$. This entropy formula exactly matches with the non-relativistic limit of Bekenstein-Hawking entropy of BTZ black hole. Then we extend our study to the contracted warped $Ad{S}_3$ black hole solution of CNMG. We obtain the entropy of dual $GC{A}_2$ in terms of central charges and finite temperatures, $T_1,T_2$. Again this expression coincides with the non-relativistic limit of Bekenstein-Hawking entropy formula of warped $Ad{S}_3$ black hole.

11 pages, no figure. arXiv admin note: text overlap with arXiv:1103.0457, arXiv:1102.0082, arXiv:1101.2339, arXiv:1202.4917

References in corpus (4)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Warped black holes in 3D general massive gravity
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity