Defects in affine Toda field theories

TL;DR

This paper reviews classical and quantum aspects of jump-defects in integrable models, focusing on their incorporation into affine Toda field theories and the sine-Gordon model, highlighting recent theoretical developments.

Contribution

It introduces the integration of jump-defects into affine Toda field theories, expanding the understanding of defects in integrable quantum field models.

Findings

Successful incorporation of jump-defects into affine Toda theories

Analysis of classical and quantum properties of defects

Extension of defect concepts from sine-Gordon to affine Toda models

Abstract

In this talk some classical and quantum aspects concerning a special kind of integrable defect - called a jump-defect - will be reviewed. In particular, recent results obtained in an attempt to incorporate this defect in the affine Toda field theories, in addition to the sine-Gordon model, will be presented.