Massive Hyper-Kahler Sigma Models and BPS Domain Walls

TL;DR

This paper constructs massive hyper-Kahler sigma models using non-Abelian quotients, explores their vacuum structure, and derives BPS domain wall solutions in specific cases, advancing understanding of solitons in supersymmetric theories.

Contribution

It introduces non-toric massive hyper-Kahler sigma models via non-Abelian quotients and derives explicit BPS domain wall solutions for particular models.

Findings

U(M) quotient models have multiple discrete vacua enabling various domain walls.

SU(M) quotient models lack discrete vacua, affecting soliton solutions.

Explicit BPS domain wall solutions are obtained for N=2, M=1 case.

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.