Holographic Entanglement Entropy in Janus deformed AdS3 Geometries
Abstract
We investigate the time dependent entanglement entropy for boosted single intervals in interface conformal field theories (ICFT2s) dual to Janus deformed AdS3 geometries. For a Janus deformed Poincar\'e AdS3 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 AdS2 slices on the asymptotic boundary. The holographic entanglement entropy is then computed through certain embedding relations for the bulk Janus deformed AdS3 geometry which exactly match with the field theory results. We further extend our analysis to investigate the entanglement entropy of corresponding intervals in ICFT2s dual to bulk Janus deformed BTZ black hole and AdS3 black string geometries obtaining consistent results from both the field theoretic and bulk computations.
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