Aharonov-Bohm effect on entanglement entropy in conformal field theory

Abstract

We consider the Aharonov-Bohm effect on entanglement entropy for one interval in ($1+1$) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e., there is a Wilson loop on the ring. The Aharonov-Bohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the R\'enyi entropy from a four point function of twist operators in a free charged scalar field.