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arxiv: hep-th/0404198 · v1 · submitted 2004-04-26 · ✦ hep-th · hep-ph· math.DG

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Construction of Non-Abelian Walls and Their Complete Moduli Space

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classification ✦ hep-th hep-phmath.DG
keywords gaugemodulinon-abelianspacewallsbogomolcompletecomplex
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We present a systematic method to construct exactly all Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions in supersymmetric (SUSY) U(N_C) gauge theories in five dimensions with N_F hypermultiplets in the fundamental representation for infinite gauge coupling. The moduli space of these non-Abelian walls is found to be the complex Grassmann manifold SU(N_F)/(SU(N_C)xSU(N_F-N_C)xU(1)) endowed with a deformed metric.

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