Seeing a c-theorem with holography

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.

5 pages, 1 figure, v2: minor changes

References in corpus (5)

• Entanglement entropy, conformal invariance and extrinsic geometry
• Entanglement Entropy in the O(N) model
• Entanglement Entropy, Trace Anomalies and Holography
• Universal entanglement entropy in 2D conformal quantum critical points
• The null energy condition and instability

Cited by in corpus (10)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• On the Null Energy Condition and Causality in Lifshitz Holography
• Comments on scaling limits of 4d N=2 theories
• New Massive Gravity and AdS_4 counterterms
• On higher derivative gravity, c-theorems and cosmology
• Double-trace deformations, holography and the c-conjecture
• Entanglement entropy for odd spheres
• Renormalization Group Functional Equations
• Running Scaling Dimensions in Holographic Renormalization Group Flows