A nontopological soliton in an $\mathcal{N} = 1$ supersymmetric gauge Abelian model

TL;DR

This paper demonstrates the existence of an electrically charged nontopological soliton in an $ =1$ supersymmetric gauge model, revealing unique long-range fields and modified interactions, with properties analyzed through analytical and numerical methods.

Contribution

It introduces a new type of nontopological soliton in a supersymmetric gauge theory, highlighting its properties and the role of supersymmetry in describing fermionic zero modes.

Findings

Existence of electrically charged nontopological soliton in the model

Presence of long-range scalar and electric fields

Modification of intersoliton interaction potential

Abstract

A version of $\mathcal{N} = 1$ supersymmetric scalar electrodynamics is considered here, and it is shown that an electrically charged nontopological soliton exists in this model. In addition to the long-range electric field, the soliton also possesses a long-range scalar field, which leads to a modification of the intersoliton interaction potential at large distances. The supersymmetry of the model makes it possible to express fermionic zero modes of the soliton in terms of bosonic fields. The properties of the nontopological soliton are investigated using analytical and numerical methods.