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Constraints on RG Flows from Holographic Entanglement Entropy

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arxiv 1311.3307 v1 pith:KUPOPHXA submitted 2013-11-13 hep-th cond-mat.str-el

Sera Cremonini , Xi Dong This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords monotonicc-functionentanglemententropyflowsgeometryholographictheories
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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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  1. Holographic Timelike c-function

    hep-th 2025-05 conditional novelty 6.0 of 10

    A holographic c-function derived from timelike entanglement entropy is shown to be monotonic along RG flows in Poincare invariant, Lifshitz, and hyperscaling-violating theories, given null energy and thermodynamic sta...

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