Eric Ragoucy
Laboratoire d'Annecy-le-Vieux de Physique Th�orique, France
RT algebras and integrable quantum theories with defects.
Abstract: We present an algebraic formalism that allows the construction of quantum theories on the line with a defect (i.e. the line minus a point). The associated algebras (the RT algebras) are a generalization of so-called ZF (Zamolodchikov-Faddeev) algebras that deal with (integrable) quantum fields in interaction on the line. The RT algebras also include the reflection algebra (that deals with integrable systems on the half-line) as a subalgebra. Their Fock space is contructed.