# Entanglement entropy of round spheres

Authors
Type
Published Article
Publication Date
Aug 31, 2010
Submission Date
Aug 25, 2010
Identifiers
DOI: 10.1016/j.physletb.2010.09.018
Source
arXiv
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.