Two-dimensional integrable theories with defects and fibre bundles over the circle

TL;DR

This paper introduces a method to connect two-dimensional integrable theories with defects to fibre bundles over the circle, using zero curvature conditions to describe their field equations and defects.

Contribution

It presents a novel approach linking integrable theories with defects to fibre bundle structures over the circle, enhancing understanding of their geometric properties.

Findings

Fibre bundles over the circle can be associated with integrable theories with defects.

Zero curvature conditions effectively describe field equations and defects.

The approach provides a geometric framework for analyzing such theories.

Abstract

A procedure is described to associate fibre bundles over the circle to two- dimensional theories with defects which have their field equations and defects described by a zero curvature condition.