Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-04-10
Advances in High Energy Physics, 2011, 472718 (2011)
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figure. arXiv admin note: text overlap with arXiv:1103.0457, arXiv:1102.0082, arXiv:1101.2339, arXiv:1202.4917
Scientific paper
In the present paper we consider the realization of $2-$dimensional Galilean conformal algebra ($GCA_2$) on the boundary of cosmological new massive gravity. At first we consider the contracted BTZ black hole solution. We obtain entropy formula for the $GCA_2$ 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 $AdS_3$ black hole solution of CNMG. We obtain the entropy of dual $GCA_2$ 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 $AdS_3$ black hole.
Kamali V.
Setare Mohammad R.
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