Holographic Local Operator Quenches in BCFTs

TL;DR

This paper develops a gravity dual model for local operator quenches in two-dimensional BCFTs, demonstrating a precise match of energy-momentum tensor and entanglement entropy calculations, and revealing novel insights into EOW brane deformation.

Contribution

It introduces a gravity dual framework for local operator quenches in BCFTs with boundary, highlighting the deformation of the EOW brane due to backreaction.

Findings

Energy-momentum tensor matches between gravity and BCFT calculations.

Entanglement entropy computed from gravity and BCFT agree in large c limit.

EOW brane deformation can be understood without folding, simplifying the analysis.

Abstract

We present a gravity dual of local operator quench in a two-dimensional CFT with conformal boundaries. This is given by a massive excitation in a three-dimensional AdS space with the end of the world brane (EOW brane). Due to the gravitational backreaction, the EOW brane gets deformed in a nontrivial way. We show that the energy-momentum tensor and entanglement entropy computed from the gravity dual and from the BCFT in the large $c$ limit match perfectly. Interestingly, this comparison avoids the folding of the EOW brane in an elegant way.