On Symmetries of Some Massless 2D Field Theories

TL;DR

This paper explores the quantum symmetries in certain massless 2D field theories, proposing new massless factorized S-matrices for specific sigma models and coset flows based on symmetry analysis.

Contribution

It introduces novel massless factorized S-matrices for $su(2)$ sigma models with topological terms and coset flows, expanding understanding of 2D quantum symmetries.

Findings

Proposed S-matrices for $PCM_k$ models.

Linked symmetries to recent scattering theory proposals.

Enhanced understanding of massless 2D field theory symmetries.

Abstract

We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma models. We use these symmetries to propose massless factorized S-matrices for the $su(2)$ sigma models with topological terms at any level, alias the $PCM_k$ models, and for the $su(2)$-coset massless flows.