Deconstructed U(1) and Supersymmetry Breaking

TL;DR

This paper explores a novel mechanism for supersymmetry breaking in a deconstructed 4D model derived from 5D theories, highlighting the potential for large hierarchical scales and phenomenological applications.

Contribution

It introduces a new supersymmetry breaking scenario combining Wilson-line superpotentials and Fayet-Iliopoulos terms in a deconstructed framework, with conditions for UV completion.

Findings

Large hierarchy between supersymmetry breaking scale and fundamental scale can be achieved.

The model offers potential phenomenological applications.

Conditions for interpreting the model as a 5D UV completion are discussed.

Abstract

We discuss supersymmetry breaking induced by simultaneous presence of a Wilson-line type superpotential and boundary-localized Fayet-Iliopoulos terms in a four dimensional theory based on deconstruction of five-dimensional abelian gauge theories on orbifolds. Large hierarchy between the scale of supersymmetry breaking and the fundamental scale can be generated dynamically. The model has several potentially interesting phenomenological applications. We also discuss the conditions that are necessary for interpreting our $U(1)^N$ model as an ultra-violet completion of some 5d theory. In particular, the corresponding 5d theory contains Chern-Simons couplings.