A New Mechanism of Spontaneous SUSY Breaking

TL;DR

This paper introduces a novel mechanism for spontaneous supersymmetry breaking driven by extra dimensions with complex topology, leading to unique vacuum structures and symmetry-breaking phenomena in simple supersymmetric models.

Contribution

It presents a new supersymmetry breaking mechanism involving extra dimensions, revealing spontaneous translational symmetry breaking and diverse vacuum structures.

Findings

Existence of a phase with spontaneously broken translational invariance.

Presence of Nambu-Goldstone fermions in the mass spectrum.

Vacuum structures vary with different global symmetries.

Abstract

We propose a new mechanism of spontaneous supersymmetry breaking. The existence of extra dimensions with nontrivial topology plays an important role. We investigate new features resulted from the mechanism in two simple supersymmetric Z_2 and U(1) models. One of remarkable features is that there exists a phase in which the translational invariance for the compactified directions is broken spontaneously, accompanying the breakdown of the supersymmetry. The mass spectrum of the models appeared in reduced dimensions is a full of variety, reflecting the highly nontrivial vacuum structure of the models. The Nambu-Goldstone bosons (fermions) associated with breakdown of symmetries are found in the mass spectrum. Our mechanism also yields quite different vacuum structures if models have different global symmetries.