BPS Domain Walls in super Yang-Mills and Landau-Ginzburg models

TL;DR

This paper investigates domain walls in super Yang-Mills and Landau-Ginzburg models, highlighting differences in their patterns despite similar effective limits, and provides physical motivation for an additional field.

Contribution

It introduces and compares two extensions of super Yang-Mills without logarithmic terms, explaining their differences and physical motivations for the extra field Y.

Findings

Different domain wall patterns in the models despite same effective limit

Explanation of the origin of these differences

Physical motivation for the additional field Y

Abstract

We study domain walls in two different extensions of super Yang--Mills characterized by the absence of a logarithmic term in their effective superpotential. The models, defined by the usual gaugino condensate and an extra field Y, give different patterns of domain walls despite both leading to the same effective limit for heavy Y, i.e. the Veneziano--Yankielowicz effective Lagrangian of super Yang--Mills. We explain the origin of those differences and also give a physical motivation for introducing the field Y.