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Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory

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arxiv 1506.00052 v2 pith:MWQJFDIX submitted 2015-05-30 hep-th

Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory

classification hep-th
keywords wilsonholographicsurfacebubblingcalculateentanglemententropysolutions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider solutions of eleven-dimensional supergravity constructed in [1,2] that are half-BPS, locally asymptotic to $AdS_7\times S^4$ and are the holographic dual of heavy Wilson surfaces in the six-dimensional $(2,0)$ theory. Using these bubbling solutions we calculate the holographic entanglement entropy for a spherical entangling surface in the presence of a planar Wilson surface. In addition, we calculate the holographic stress tensor and, by evaluating the on-shell supergravity action, the expectation value of the Wilson surface operator.

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  1. From Weyl Anomaly to Defect Supersymmetric R\'enyi Entropy and Casimir Energy

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    In 6D (2,0) theories, defect supersymmetric Rényi entropy contribution is linear in 1/n and equals a constant times (2b - d2); Casimir energy contribution equals -d2 (up to constant) in the chiral algebra limit.