The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory

TL;DR

This paper investigates how the Aharonov-Bohm effect influences entanglement entropy in a (1+1)D conformal field theory on a ring, using twist operators and exact calculations of Renyi entropy.

Contribution

It provides an exact computation of the Renyi entropy in a conformal field theory with a magnetic flux, linking topological effects to entanglement measures.

Findings

Exact Renyi entropy calculated for the system.

Demonstrates the impact of magnetic flux on entanglement.

Connects Aharonov-Bohm phase to twist operator insertions.

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 Renyi entropy from a four point function of twist operators in a free charged scalar field.