Entanglement entropy of round spheres

Abstract

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme black hole. The near-horizon geometry of the latter is $H_2\times S_{d-2}$. For a scalar field this proposal is checked by direct calculation. We comment on relation of this and earlier calculations to the ``brick wall'' model of 't Hooft. The case of generic 4d conformal field theory is discussed.

11 pages, no figures, minor modification

References in corpus (5)

• Entanglement entropy, conformal invariance and extrinsic geometry
• Entanglement Entropy, Trace Anomalies and Holography
• Entanglement entropy of black holes and AdS/CFT correspondence
• Entanglement entropy for even spheres
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Cited by in corpus (1)

• Towards a derivation of holographic entanglement entropy