Non-Abelian Walls and Vortices in Supersymmetric Theories

2004/09/10 by Youichi Isozumi, Muneto Nitta, Isozumi, Youichi +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0409110

16pages, 4 figures, contribution to SUSY2004 Proceedings, some typos corrected

arxiv created 2004/09/15 · arxiv updated 2009/12/01

Abstract

We review recent results on solitons in supersymmetric (SUSY) non-Abelian gauge theories, focusing on our papers: hep-th/0405194, hep-th/0405129, and hep-th/0404198. We construct the BPS multi-wall solutions in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling. Total moduli space of the BPS non-Abelian walls is found to be the complex Grassmann manifold SU(N_F) / [SU(N_C)× SU(N_F-N_C) × U(1)]. A 1/4 BPS equation is also studied which gives combinations of vortices, walls and monopoles. The full moduli space of the 1/4 BPS equation is found to be the space of all holomorphic maps from a complex plane to the wall moduli space. Exact solutions of the 1/4 BPS equation are also obtained for infinite gauge coupling.

Related

• Non-Abelian walls in supersymmetric gauge theories
• Construction of Non-Abelian Walls and their Complete Moduli Space
• Counting BPS Solitons and Applications
• Global structure of moduli space for BPS walls
• Non-BPS walls and their stability in 5d SUSY theory