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AdS/BCFT correspondence for higher curvature gravity: an example

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Abstract

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature scalar square, so called, new massive gravity. We show that a boundary entropy and an entanglement entropy are given by similar expressions with those of the Einstein gravity case when we introduce an effective Newton’s constant and an effective cosmological constant. We also show that the holographic g-theorem still holds in this extension, and we give some comments about the central charge dependence of boundary entropy in the holographic construction. In the same way, we consider new type black holes and comment on the boundary profile. More-over, we reproduce these results through auxiliary field formalism in this specific higher curvature gravity.

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Authors and Affiliations

  1. Department of Physics and Research Institute of Basic Science, Kyung Hee University, Seoul, 130-701, Korea

    Yongjoon Kwon, Soonkeon Nam & Jong-Dae Park

  2. Center for Quantum Spacetime, Sogang University, Seoul, 121-741, Korea

    Sang-Heon Yi

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  1. Yongjoon Kwon
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Correspondence to Jong-Dae Park.

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ArXiv ePrint: 1201.1988

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Kwon, Y., Nam, S., Park, JD. et al. AdS/BCFT correspondence for higher curvature gravity: an example. J. High Energ. Phys. 2012, 119 (2012). https://doi.org/10.1007/JHEP06(2012)119

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