Defects in Higher-Dimensional Quantum Field Theory
The present work is addressed to defects and boundaries in quantum field theory considering the application to AdS/CFT correspondence.\n\nWe examine interactions of fermions with spins localised on these boundaries. Therefore, an algebra method is emphasised adding reflection and transmission terms to the canonical quantisation prescription. This method has already been applied to bosons in two space-time dimensions before.\n\nWe show the possibilities of such reflection-transmission algebras in two, three, and four dimensions. We compare with models of solid state physics as well as with the conformal field theory approach to the Kondo effect.