Box Compactification and Supersymmetry Breaking

TL;DR

This paper explores how compactifying higher-dimensional supersymmetric theories on a flat box with specific boundary conditions can lead to partial or complete supersymmetry breaking in four dimensions.

Contribution

It provides a systematic analysis of supersymmetry breaking mechanisms via boundary conditions in box compactifications, including spectra and gauge symmetry considerations.

Findings

Spectrum depends on boundary conditions, leading to supersymmetry breaking.

Partial or complete supersymmetry breaking can be achieved.

Gauge symmetry breaking is also discussed.

Abstract

We discuss all possible compactifications on flat three-dimensional smooth spaces. In particular, various fields are studied on a box with opposite sides identified, after two of them are rotated by $\pi$, and their spectra are obtained. The compactification of a general 7D supersymmetric theory in such a box is considered and the corresponding four-dimensional theory is studied, in relation to the boundary conditions chosen. The resulting spectrum, according to the allowed field boundary conditions, corresponds to partially or completely broken supersymmmetry. We briefly discuss also the breaking of gauge symmetries under the proposed box compactification.