Holographic Entanglement Entropy in Janus deformed AdS$_3$ Geometries

TL;DR

This paper studies how Janus deformations affect the time-dependent entanglement entropy in dual interface conformal field theories, using holographic techniques to match bulk and boundary results in various geometries.

Contribution

It provides a detailed holographic analysis of entanglement entropy in Janus deformed AdS$_3$ geometries, including black hole backgrounds, with exact matches between bulk and boundary calculations.

Findings

Holographic entanglement entropy matches field theory results in Janus deformed backgrounds.

Janus deformations induce specific corrections to entanglement entropy.

Consistent results are obtained for both black hole and black string geometries.

Abstract

We investigate the time dependent entanglement entropy for boosted single intervals in interface conformal field theories (ICFT$_2$s) dual to Janus deformed AdS$_3$ geometries. For a Janus deformed Poincar\'e AdS$_3$ background, we obtain the entanglement entropy and a Janus induced correction using a replica technique for the equivalent dual field theory described on a conformally flat background on corresponding AdS$_2$ slices on the asymptotic boundary. The holographic entanglement entropy is then computed through certain embedding relations for the bulk Janus deformed AdS$_3$ geometry which exactly match with the field theory results. We further extend our analysis to investigate the entanglement entropy of corresponding intervals in ICFT$_2$s dual to bulk Janus deformed BTZ black hole and AdS$_3$ black string geometries obtaining consistent results from both the field theoretic and bulk computations.