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arXiv · 1311.3307

Constraints on RG Flows from Holographic Entanglement Entropy

Sera Cremonini·Xi Dong
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Abstract

We examine the RG flow of a candidate c-function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance. We clarify the conditions on the geometry that lead to a break-down of monotonic RG flows as is expected for generic Lorentz-violating field theories. Nevertheless we identify a set of simple criteria on the UV behavior of the geometry which guarantee a monotonic c-function. Our analysis can thus be used as a guiding principle for the construction of monotonic RG trajectories, and can also prove useful for excluding possible IR behaviors of the theory.

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Sera Cremonini, Xi Dong. 2013-11-13. Constraints on RG Flows from Holographic Entanglement Entropy. https://doi.org/10.1103/physrevd.89.065041

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