Defects and Dressed Boundaries in Complex Sine-Gordon Theory

Abstract

In this paper we constructed integrable defects in complex sine-Gordon theory. Soliton and particle interactions with the defect are analysed. Defects are used to dress Dirichlet boundaries to create a wider class of integrable boundary conditions to ones previously studied. Properties of these new boundaries including soliton and particle reflections with the boundaries are presented.

33 pages, 16 figures, minor corrections

References in corpus (7)

• Dyonic Giant Magnons
• Quantum and classical integrable sine-Gordon model with defect
• Solving topological defects via fusion
• On purely transmitting defects in affine Toda field theory
• Reflecting Magnon Bound States
• Classical Integrable N=1 and $N=2$ Super Sinh-Gordon Models with Jump Defects
• Quantum complex sine-Gordon model on a half line