Seeing a c-theorem with holography

Details Seeing a c-theorem with holography Seeing a c-theorem with holography

2010-06-07

arxiv.org/abs/1006.1263v2

Phys.Rev.D82:046006,2010

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, v2: minor changes

Scientific paper

10.1103/PhysRevD.82.046006

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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