First order formalism for the holographic duals of defect CFTs

Abstract

We develop a first order formalism for constructing gravitational duals of conformal defects in a bottom up approach. Similarly as for the flat domain walls a single function specifies the solution completely. Using this formalism we construct several novel families of analytic solutions dual to conformal interfaces and boundaries. As a sample application we study the boundary OPE and entanglement entropy for one of the found defects.

28 pages, 3 figures

References in corpus (8)

• Towards a derivation of holographic entanglement entropy
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Entanglement Entropy, Trace Anomalies and Holography
• Hidden supersymmetry of domain walls and cosmologies
• Ten-dimensional supersymmetric Janus solutions
• Holographic renormalization as a canonical transformation
• Spin-2 spectrum of defect theories
• Scalar fields, bent branes, and RG flow

Cited by in corpus (8)

• On Holographic Defect Entropy
• Bending branes for DCFT in two dimensions
• Central Charges of 2d Superconformal Defects
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Janus and RG-flow interfaces in three-dimensional gauged supergravity
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$