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 AdSd 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.
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Gutperle et al. (2012) studied this question.
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