English

D-brane Construction for Non-Abelian Walls

High Energy Physics - Theory 2007-05-23 v4

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.

Keywords

Cite

@article{arxiv.hep-th/0412024,
  title  = {D-brane Construction for Non-Abelian Walls},
  author = {Minoru Eto and Youichi Isozumi and Muneto Nitta and Keisuke Ohashi and Kazutoshi Ohta and Norisuke Sakai},
  journal= {arXiv preprint arXiv:hep-th/0412024},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T15:27:23.043Z