Walls and Vortices in Supersymmetric Non-Abelian Gauge Theories

Details Walls and Vortices in Supersymmetric Non-Abelian Gauge Theories Walls and Vortices in Supersymmetric Non-Abelian Gauge Theories

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pasc.conf..229i&link_type=abstract

PASCOS 2004 Part I: Particles, Strings and Cosmology* Part II: Themes in Unification -- The Pran Nath Festschrift†. *,†Proceedin

Computer Science

Scientific paper

We review recent results (hep-th/0405194, hep-th/0405129, and hep-th/0404198) 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) × SU(NF - NC) × U(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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