Free compact boson on branched coverings of the torus

Abstract

We have studied the free compact boson on a $n$-sheeted covering of the torus gluing alone $m$ branch cuts. It is interesting because when the branched cuts are chosen to be real, the partition function is related to the $n$-th Rényi entanglement entropy of $m$ 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.

References in corpus (3)

• Entanglement entropy of two disjoint intervals in conformal field theory II
• Rényi Entropy of Free Compact Boson on Torus
• Two intervals Rényi entanglement entropy of compact free boson on torus

Cited by in corpus (1)

• Classical Liouville Action and Uniformization of Orbifold Riemann Surfaces