N=1 super sinh-Gordon model with defects revisited

TL;DR

This paper investigates the integrability of the N=1 supersymmetric sinh-Gordon model with defects using the Lax pair formalism, deriving defect matrices and conserved quantities, and explicitly computing defect contributions to energy and momentum.

Contribution

It introduces a systematic approach to analyze integrability in supersymmetric models with defects by deriving defect matrices and conserved quantities.

Findings

Derived defect matrix for the N=1 super sinh-Gordon model.

Constructed generating functions for modified conserved quantities.

Explicitly computed defect contributions to energy and momentum.

Abstract

The Lax pair formalism is considered to discuss the integrability of the N=1 supersymmetric sinh-Gordon model with a defect. We derive associated defect matrix for the model and construct the generating functions of the modified conserved quantities. The corresponding defect contributions for the modified energy and momentum of the model are explicitly computed.