Cosmological New Massive Gravity and Galilean Conformal Algebra in 2 Dimensions | Zendy

M. R. Setare | Zendy; Vahid Kamali | Zendy

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Cosmological New Massive Gravity and Galilean Conformal Algebra in 2 Dimensions

Author(s) -

M. R. Setare,

Vahid Kamali

Publication year - 2011

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2011/472718

Subject(s) - physics , central charge , btz black hole , galilean , mathematical physics , virasoro algebra , black hole thermodynamics , entropy (arrow of time) , conformal map , black hole (networking) , massive gravity , conformal field theory , quantum mechanics , gravitation , de sitter–schwarzschild metric , algebra representation , geometry , pure mathematics , algebra over a field , routing (electronic design automation) , mathematics , computer network , routing protocol , computer science , cellular algebra , graviton , link state routing protocol

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

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