Massive Hyper-Kahler Sigma Models and BPS Domain Walls

Abstract

With the non-Abelian Hyper-Kahler quotient by U(M) and SU(M) gauge groups, we give the massive Hyper-Kahler sigma models that are not toric in the N=1 superfield formalism. The U(M) quotient gives N!/[M! (N-M)!] (N is a number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua. We derive BPS domain wall solution in the case of N=2 and M=1 in the U(M) quotient model.

16 pages, 1 figure, contribution to the Proceedings of the International Conference on "Symmetry Methods in Physics (SYM-PHYS10)" held at Yerevan, Armenia, 13-19 Aug. 2003

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Cited by in corpus (8)

• Solitons in the Higgs phase -- the moduli matrix approach --
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• Domain Walls with Non-Abelian Clouds
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Dynamics of Domain Wall Networks
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Effective Action of Domain Wall Networks
• Dynamics of Strings between Walls