Seeing a c-theorem with holography

Robert C. Myers; Aninda Sinha

doi:10.1103/PhysRevD.82.046006

paper

Seeing a c-theorem with holography

arXiv:1006.1263 · doi:10.1103/PhysRevD.82.046006

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 (28)

Large N Field Theories, String Theory and Gravity
Holographic Derivation of Entanglement Entropy from AdS/CFT
Aspects of Holographic Entanglement Entropy
The Holographic Weyl anomaly
Entanglement renormalization
Implications of Conformal Invariance in Field Theories for General Dimensions
Twenty Years of the Weyl Anomaly
Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
A finite entanglement entropy and the c-theorem
Null energy condition and superluminal propagation
Entanglement entropy, conformal invariance and extrinsic geometry
Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions
Holography and the Weyl anomaly
Diffeomorphisms and Holographic Anomalies
AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
Entanglement Entropy in the O(N) model
Entanglement Entropy, Trace Anomalies and Holography
On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
On the new massive gravity and AdS/CFT
Universal entanglement entropy in 2D conformal quantum critical points
Fine-grained entanglement loss along renormalization group flows
On Subleading Contributions to the AdS/CFT Trace Anomaly
The null energy condition and instability
The Thermodynamics of Quantum Systems and Generalizations of Zamolodchikov's C-theorem
Entanglement renormalization in fermionic systems
A counterexample to the a-'theorem'

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