Non-Abelian Webs of Walls

TL;DR

This paper investigates complex web-like structures of domain walls in supersymmetric gauge theories, revealing different junction charge types and establishing rules for their construction using topological and moduli space analysis.

Contribution

It introduces a comprehensive framework for understanding non-Abelian webs of walls, including classification of junction charges and construction rules based on grid diagrams and moduli parameters.

Findings

All three junction charge types are realized in the model.

Positive junction charge is linked to a topological charge in the Hitchin system.

Web configurations can be characterized by moduli parameters.

Abstract

Domain wall junctions are studied in N=2 supersymmetric U(Nc) gauge theory with Nf(>Nc) flavors. We find that all three possibilities are realized for positive, negative and zero junction charges. The positive junction charge is found to be carried by a topological charge in the Hitchin system of an SU(2) gauge subgroup. We establish rules of the construction of the webs of walls. Webs can be understood qualitatively by grid diagram and quantitatively by associating moduli parameters to web configurations.