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arXiv · 1206.5225

Entanglement Entropy for Singular Surfaces

Robert C. Myers·Ajay Singh
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Abstract

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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Robert C. Myers, Ajay Singh. 2012-08-08. Entanglement Entropy for Singular Surfaces. https://doi.org/10.1007/jhep09(2012)013

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