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

Masato Arai | Zendy; Muneto Nitta | Zendy; N. Sakai | Zendy

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

Author(s) -

Masato Arai,

Muneto Nitta,

N. Sakai

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.113.657

Subject(s) - physics , quotient , abelian group , sigma , sigma model , mathematical physics , higgs boson , formalism (music) , gauge group , gauge theory , pure mathematics , theoretical physics , quantum mechanics , nonlinear system , mathematics , art , musical , visual arts

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gaugegroups are described by hyper-Kahler (HK) nonlinear sigma models with potentialterms. With the non-Abelian HK quotient by U(M) and SU(M) gauge groups, we givethe massive HK sigma models that are not toric in the N=1 superfield formalismand 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.Comment: 37 pages, one figure, final version to appear in Prog. Theor. Phy

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