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arXiv · 1106.4609

Holographic Renormalization and Stress Tensors in New Massive Gravity

Yongjoon Kwon·Soonkeon Nam·Jong-Dae Park·Sang-Heon Yi
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Abstract

We obtain holographically renormalized boundary stress tensors with the emphasis on a special point in the parameter space of three dimensional new massive gravity, using the so-called Fefferman-Graham coordinates with relevant counter terms. Through the linearized equations of motion with a standard prescription, we also obtain correlators among these stress tensors. We argue that the self-consistency of holographic renormalization determines counter terms up to unphysical ambiguities. Using these renormalized stress tensors in Fefferman-Graham coordinates, we obtain the central charges of dual CFT, and mass and angular momentum of some $AdS$ black hole solutions. These results are consistent with the previous ones obtained by other methods. In this study on the Fefferman-Graham expansion of new massive gravity, some aspects of higher curvature gravity are revealed.

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Yongjoon Kwon, Soonkeon Nam, Jong-Dae Park, Sang-Heon Yi. 2011-06-23. Holographic Renormalization and Stress Tensors in New Massive Gravity. https://doi.org/10.1007/jhep11(2011)029

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