Spontaneous Supersymmetry Breaking from Extra Dimensions

TL;DR

This paper introduces a novel mechanism for spontaneous supersymmetry breaking driven by extra compact dimensions, demonstrating that such breaking occurs independently of the circle's radius and involves breaking of translational and global symmetries.

Contribution

The paper presents a new supersymmetry breaking mechanism involving extra dimensions, with a simple model showing spontaneous breaking regardless of the compactification radius.

Findings

Supersymmetry is spontaneously broken regardless of the circle radius.

Translational and global symmetries are broken when the radius exceeds a critical value.

The mechanism may manifest as O'Raifeartaigh-type supersymmetry breaking at low energies.

Abstract

We propose a new spontaneous supersymmetry breaking mechanism, in which extra compact dimensions play an important role. To illustrate our mechanism, we study a simple model consisting of two chiral superfields, where one spatial dimension is compactified on a circle $S^1$. It is shown that supersymmetry is spontaneously broken irrespective of the radius of the circle, and also that the translational invariance for the $S^1$-direction and a global symmetry are spontaneously broken when the radius becomes larger than a critical radius. These results are expected to be general features of our mechanism. We further discuss that our mechanism may be observed as the O'Raifeartaigh type of supersymmetry breaking at low energies.