The sine-Gordon model in the presence of defects

Abstract

The sine-Gordon model in the presence of dynamical integrable defects is investigated. This is an application of the algebraic formulation introduced for integrable defects in earlier works. The quantities in involution as well as the associated Lax pairs are explicitly extracted. Integrability i also shown using certain sewing constraints, which emerge as suitable continuity conditions.

15 pages, Latex. This is based on a talk presented by A.D. in "Integrable systems and quantum symmetries", Prague, June 2012

References in corpus (5)

• Quantum and classical integrable sine-Gordon model with defect
• Solving topological defects via fusion
• On purely transmitting defects in affine Toda field theory
• Comments on defects in the a_r Toda field theories
• Boundary Lax pairs for the $A_n^{(1)}$ Toda field theories