English

Renyi entropy and C_T for p-forms on even spheres

High Energy Physics - Theory 2017-06-23 v2

Abstract

Renyi entropy and central charge, CTC_T, are calculated for a coexact p--form on an even sphere with particular reference to the conformally invariant case. It is shown, for example, that the entanglement entropy is minus the standard conformal anomaly with no `shift' being required. The shift necessary for a conformal p--form, when using a hyperbolic technique, is predicted, on a numerical basis, to be (minus) the entanglement entropy of a conformal (p-1)-form. The central charges agree numerically with a general formula of Buchel {\it et al}.

Keywords

Cite

@article{arxiv.1706.04574,
  title  = {Renyi entropy and C_T for p-forms on even spheres},
  author = {J. S. Dowker},
  journal= {arXiv preprint arXiv:1706.04574},
  year   = {2017}
}

Comments

10 pages. Text revamped. Comparisons amplified and references added

R2 v1 2026-06-22T20:18:55.865Z