Integrable Holographic Defect CFTs

Abstract: We review a class of integrable, supersymmetric defect conformal field theories which have holographic duals in the form of probe brane models. Our main examples are defect versions of N=4 SYM and ABJM theory, both involving a domain wall with Nahm pole boundary conditions, and the case of a 't Hooft line embedded in N=4 SYM. The field theory defect respectively the probe D-brane can be described as an integrable boundary state of the integrable system underlying the AdS/CFT correspondence.