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Entanglement Entropy for Singular Surfaces

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arxiv 1206.5225 v2 pith:T7GYHD2S submitted 2012-06-22 hep-th cond-mat.stat-mechmath-phmath.MP

classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords entanglemententropyboundarydimensionssingularconicalcut-offdimension
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We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime dimension, we find that the entanglement entropy of a conical surface contains a term quadratic in the logarithm of the UV cut-off. In four dimensions, the coefficient of this contribution is proportional to the central charge 'c'. A conical singularity in an odd number of spacetime dimensions contributes a term proportional to the logarithm of the UV cut-off. We also study the entanglement entropy for various boundary surfaces with extended singularities. In these cases, similar universal terms may appear depending on the dimension and curvature of the singular locus.

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