A note on entanglement entropy for topological interfaces in RCFTs

TL;DR

This paper calculates and compares entanglement entropy for topological interfaces in rational conformal field theories, exploring different interface positions and related theories, providing insights into their quantum entanglement properties.

Contribution

It provides explicit calculations of entanglement entropy for topological interfaces in RCFTs and compares different configurations and related theories, expanding understanding of topological entanglement.

Findings

Entanglement entropy varies with interface position in RCFTs.

Comparison between interface entanglement and boundary entropy.

Extensions to free boson and Liouville theories.

Abstract

In this paper we calculate the entanglement entropy for topological interfaces in rational conformal field theories for the case where the interface lies at the boundary of the entangling interval and for the case where it is located in the center of the entangling interval. We compare the results to each other and also to the recently calculated left/right entropy of a related BCFT. We also comment of the entanglement entropies for topological interfaces for a free compactified boson and Liouville theory.