D-brane Construction for Non-Abelian Walls

Details D-brane Construction for Non-Abelian Walls D-brane Construction for Non-Abelian Walls

2004-12-02

arxiv.org/abs/hep-th/0412024v4

Phys.Rev. D71 (2005) 125006

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 33 figures, the final version, typos in Eqs. (4.15) and (4.25) in the published version corrected

Scientific paper

10.1103/PhysRevD.71.125006

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.

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