Walls and vortices in supersymmetric non-abelian gauge theories
Abstract
We review recent results on the BPS multi-wall solutions in supersymmetric U(NC) gauge theories in five dimensions with NF(>NC) hypermultiplets in the fundamental representation. Total moduli space of the BPS non-Abelian walls is found to be the complex Grassmann manifold SU(NF)/[SU(NC)xSU(NF-NC)xU(1)]. Exact solutions are obtained with full generic moduli for infinite gauge coupling. A 1/4 BPS equation is also solved, giving vortices together with the non-Abelian walls and monopoles in the Higgs phase attached to the vortices. The full moduli space of the 1/4 BPS solutions is found to be holomorphic maps from a complex plane to the wall moduli space.
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