Holographic RG-flows and Boundary CFTs

TL;DR

This paper constructs holographic models of boundary and interface conformal field theories using gravity solutions with Janus-like slicing, enabling the study of spatially-dependent deformations and entanglement properties.

Contribution

It introduces new gravity solutions that holographically realize boundary and interface CFTs with spatially-dependent couplings, expanding the understanding of such deformations.

Findings

Holographic entanglement entropy can be computed despite bulk singularities.

Solutions realize deformations of CFTs by relevant operators with spatial dependence.

The Janus-like ansatz effectively models boundary and interface CFTs in holography.

Abstract

Solutions of $(d+1)$-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary CFTs. The solution utilizes a Janus-like $\mathrm{AdS}_d$ slicing ansatz and corresponds to a deformation of the CFT by a spatially-dependent coupling of a relevant operator. The BCFT solutions are singular in the bulk, but physical quantities such as the holographic entanglement entropy can be calculated.