Free compact boson on branched coverings of the torus
High Energy Physics - Theory
2017-05-31 v5
Abstract
We have studied the free compact boson on a -sheeted covering of the torus gluing alone branch cuts. It is interesting because when the branched cuts are chosen to be real, the partition function is related to the -th R\'enyi entanglement entropy of disjoint intervals in a finite system at finite temperature. After proposing a canonical homology basis and its dual basis of the covering surface, we find that the partition function can be written in terms of theta functions.
Keywords
Cite
@article{arxiv.1610.09685,
title = {Free compact boson on branched coverings of the torus},
author = {Feihu Liu},
journal= {arXiv preprint arXiv:1610.09685},
year = {2017}
}