Defects and Dressed Boundaries in Complex Sine-Gordon Theory

TL;DR

This paper constructs integrable defects in complex sine-Gordon theory and explores how they modify boundary conditions, analyzing soliton and particle interactions with these defects and boundaries.

Contribution

It introduces a new class of integrable defects and boundary conditions in complex sine-Gordon theory, expanding the understanding of boundary interactions.

Findings

Defects enable dressing Dirichlet boundaries to form new integrable boundary conditions.

Analysis of soliton and particle reflections at the defects and boundaries.

Properties of the new boundary conditions are systematically characterized.

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.