Folding defect affine Toda field theories

TL;DR

This paper constructs and analyzes defects in non-simply laced affine Toda field theories via a folding process, providing evidence for their classical integrability through soliton transmission and conservation laws.

Contribution

It introduces a folding method to create defects in non-simply laced affine Toda theories and demonstrates their classical integrability.

Findings

Transmitted solitons retain their form in folded theories.

Energy and momentum are conserved in the defect models.

Supports the hypothesis of integrability in these models.

Abstract

A folding process is applied to fused a^(1)_r defects to construct defects for the non-simply laced affine Toda field theories of c^(1)_n, d^(2)_n and a^(2)_2n at the classical level. Support for the hypothesis that these defects are integrable in the folded theories is provided by the observation that transmitted solitons retain their form. Further support is given by the demonstration that energy and momentum are conserved.