English

Supersymmetric R\'enyi Entropy in Two Dimensions

High Energy Physics - Theory 2016-03-17 v3

Abstract

We compute the exact partition function on the branched two-sphere by the localization technique. It is found that it does not depend on a branching parameter q, which means that supersymmetric R\'enyi entropy defined by utilizing it is equivalent to the usual entanglement entropy. We also provide the interpretation of the conical singularities on the branched sphere as defects sit on the poles of the nonsingular two-sphere.

Keywords

Cite

@article{arxiv.1512.02829,
  title  = {Supersymmetric R\'enyi Entropy in Two Dimensions},
  author = {Hironori Mori},
  journal= {arXiv preprint arXiv:1512.02829},
  year   = {2016}
}

Comments

27 pages; v2: typos and discussions revised, and reference added; v3: typos corrected and published in JHEP