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Some Calculable Contributions to Holographic Entanglement Entropy

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arxiv 1105.6055 v1 pith:GOWV4LH4 submitted 2011-05-30 hep-th

Ling-Yan Hung , Robert C. Myers , Michael Smolkin This is my paper
classification hep-th
keywords contributionsentanglemententropysometheoryboundarycut-offlogarithmic
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Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found recently in an investigation of entanglement entropy in a free massive scalar field theory [1].

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Cited by 3 Pith papers

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  1. Holographic Timelike c-function

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    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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  3. Charged Black Hole with String Cloud Deformation: Entanglement and Chaos

    hep-th 2025-07 conditional novelty 4.0 of 10

    In a charged AdS black hole with a string cloud, entanglement entropy and entanglement wedge cross-section increase with charge and backreaction, while mutual information and butterfly velocity decrease with charge.

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