Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient
High Energy Physics - Theory
2009-11-10 v4 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0307274,
title = {Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient},
author = {Masato Arai and Muneto Nitta and Norisuke Sakai},
journal= {arXiv preprint arXiv:hep-th/0307274},
year = {2009}
}
Comments
37 pages, one figure, final version to appear in Prog. Theor. Phys