Seeing a c-theorem with holography

Robert C. Myers; Aninda Sinha

doi:10.1103/physrevd.82.046006

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arXiv · 1006.1263

Seeing a c-theorem with holography

Robert C. Myers·Aninda Sinha

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Abstract

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms. The latter allows us to distinguish the flow of the central charges $a$ and $c$ in the dual field theories in four dimensions. One finds that the flow of $a$ is naturally monotonic but that of $c$ is not. Extending the analysis of holographic RG flows to higher dimensions, we are led to formulate a novel c-theorem in arbitrary dimensions for a universal coefficient appearing in the entanglement entropy of the fixed point CFT's.

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Robert C. Myers, Aninda Sinha. 2010-06-22. Seeing a c-theorem with holography. https://doi.org/10.1103/physrevd.82.046006

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