Holographic renormalization group flows and boundary conformal field theories

Abstract

Solutions of $(d+1)$-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary conformal field theories (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 boundary conformal field theory solutions are singular in the bulk, but physical quantities such as the holographic entanglement entropy can be calculated.