Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient

Details Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient

2003-07-28

arxiv.org/abs/hep-th/0307274v4

Prog.Theor.Phys. 113 (2005) 657-685

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, one figure, final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.113.657

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups are described by hyper-Kahler (HK) nonlinear sigma models with potential terms. With the non-Abelian HK quotient by U(M) and SU(M) gauge groups, we give the massive HK sigma models that are not toric in the N=1 superfield formalism and the harmonic superspace formalism. The U(M) quotient gives N!/[M! (N-M)!] discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua.

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