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      Non-Abelian Walls in Supersymmetric Gauge Theories

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          Abstract

          The Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed 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 and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off-diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world-volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out. Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(N_F) / [SU(N_C) x SU(N_F-N_C) x U(1)] endowed with a deformed metric.

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          Author and article information

          Journal
          22 May 2004
          2005-03-04
          Article
          10.1103/PhysRevD.70.125014
          hep-th/0405194
          3d1a8928-dca0-4ada-aec1-2dd2e4bd3fd0
          History
          Custom metadata
          TIT/HEP-524
          Phys.Rev. D70 (2004) 125014
          62 pages, 17 figures, the final version in PRD
          hep-th hep-ph math.DG

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