Degeneracy and Continuous Deformations of Supersymmetric Domain Walls

TL;DR

This paper explores the continuous deformations and degeneracy of supersymmetric BPS domain walls, revealing hidden parameters and zero modes that do not break symmetries, with implications for supersymmetric theory structures.

Contribution

It introduces the concept of continuous internal structure variations of BPS domain walls via hidden parameters, expanding understanding of their zero modes and supersymmetry relations.

Findings

Existence of degenerate families of BPS domain walls.

Identification of bosonic zero modes unrelated to symmetry breaking.

Fermionic partners generated by residual supersymmetry.

Abstract

In a wide class of supersymmetric theories degenerate families of the BPS-saturated domain walls exist. The internal structure of these walls can continuously vary, without changing the wall tension. This is described by hidden parameters (collective coordinates). Differentiating with respect to the collective coordinates one gets a set of the bosonic zero modes localized on the wall. Neither of them is related to the spontaneous breaking of any symmetry. Through the residual 1/2 of supersymmetry each bosonic zero mode generates a fermionic partner.