2003/07/31 by M. Arai, Masato Arai, Muneto Nitta +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum and Classical Electrodynamics #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1143/ptp.113.657
published as Prog.Theor.Phys. 113 (2005) 657-685 · 37 pages, one figure, final version to appear in Prog. Theor. Phys
arxiv created 2005/03/01 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups is described by hyper-Kähler (HK) nonlinear sigma models with potential terms. Using the non-Abelian HK quotient with respect to U(M) and S U(M) gauge groups, we derive 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 S U(M) quotient gives no discrete vacua.