D-brane Construction for Non-Abelian Walls

TL;DR

This paper presents a brane configuration model for non-Abelian walls in supersymmetric gauge theories, revealing new phenomena like brane reconnection and extending known effects such as the s-rule and Hanany-Witten effect.

Contribution

It introduces a brane setup that realizes non-Abelian walls as kinky fractional D-branes, providing a geometric understanding of their properties and dualities.

Findings

Realization of non-Abelian walls as kinky fractional D-branes

Extension of the s-rule and Hanany-Witten effect in this context

Observation of fractional D-brane reconnection phenomena

Abstract

Supersymmetric U(Nc) gauge theory with Nf massive hypermultiplets in the fundamental representation is given by the brane configuration made of Nc fractional Dp-branes stuck at the Z_2 orbifold singularity on Nf separated D(p+4)-branes. We show that non-Abelian walls in this theory are realized as kinky fractional Dp-branes interpolating between D(p+4)-branes. Wall solutions and their duality between Nc and Nf - Nc imply extensions of the s-rule and the Hanany-Witten effect in brane dynamics. We also find that the reconnection of fractional D-branes occurs in this system. Diverse phenomena in non-Abelian walls found in field theory can be understood very easily by this brane configuration.