A T-duality interpretation of the relationship between massive and massless magnonic TBA systems

TL;DR

This paper explores how T-duality symmetries in Homogeneous sine-Gordon models provide a new perspective on the relationship between massive and massless magnonic TBA systems, aligning with previous Y-system analyses.

Contribution

It introduces a T-duality based interpretation of the connection between massive and massless magnonic TBA systems, offering an alternative to existing Y-system approaches.

Findings

T-duality symmetries relate massive and massless TBA systems.

The interpretation aligns with previous Y-system results.

Provides a new conceptual framework for understanding magnonic TBA systems.

Abstract

We propose an alternative understanding of the relationship between massive and massless magnonic TBA systems, using the T-duality symmetries of the Homogeneous sine-Gordon models. This is shown to be in agreement with a previous treatment by Dorey, Dunning and Tateo, based on the properties of Y-systems.