Generalized Integrability and the connections between Skyrme-Faddeev and Yang Mills theories

TL;DR

This paper explores a generalized integrability framework for Skyrme theory on S^2, revealing new expressions and clarifying the connection between minimal energy configurations and gauge vacua, with implications for symmetry breaking.

Contribution

It introduces a generalized 0-curvature integrability approach for Skyrme models on spheres, providing new expressions and insights into gauge vacua and symmetry breaking effects.

Findings

New expressions for models on the sphere

Clarification of minimal energy configurations and gauge vacua

Discussion on effects of symmetry-breaking potentials

Abstract

Skyrme theory on S^2 (Faddeev coset proposal), is analyzed with a generalization of 0-curvature integrability, based on gauge techniques. New expressions valid for models in the sphere are given. The relation of the minimum energy configurations to gauge vacua is clarified. Consequences of adding a potential term to break the SO(3) symmetry are discussed.