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Walls and vortices in supersymmetric non-abelian gauge theories

Youichi Isozumi·Muneto Nitta·Keisuke Ohashi·Norisuke Sakai
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Abstract

We review recent results on 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. Total moduli space of the BPS non-Abelian walls is found to be the complex Grassmann manifold SU(N_F)/[SU(N_C)xSU(N_F-N_C)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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Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai. 2004-10-13. Walls and vortices in supersymmetric non-abelian gauge theories. https://doi.org/10.1142/9789812701756_0091

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