Integrable Field Theories with Defects

TL;DR

This paper explores how integrable field theories behave when defects are introduced, using boundary functions within the Lagrangian framework, and provides explicit examples including the super sinh-Gordon model.

Contribution

It introduces a method to analyze integrable field theories with defects through boundary functions and constructs explicit boundary functions for the super sinh-Gordon model.

Findings

Boundary functions generate Backlund transformations for soliton solutions.

Explicit boundary functions are constructed for the super sinh-Gordon model.

The formalism applies to both bosonic and fermionic theories.

Abstract

The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the super sinh-Gordon model is constructed and shown to generate the Backlund transformations for its soliton solutions.