Scherk-Schwarz Supersymmetry Breaking in 4D

TL;DR

This paper introduces 4D models that replicate 5D supersymmetric theories with Scherk-Schwarz breaking using dimensional deconstruction, avoiding the complexities of extra dimensions and ultraviolet ambiguities.

Contribution

It presents a novel 4D deconstruction approach that fully reproduces 5D supersymmetric models with Scherk-Schwarz boundary conditions, utilizing only soft supersymmetry breaking.

Findings

Successfully deconstructed 5D models with Scherk-Schwarz boundary conditions.

Preserved key features of 5D theories without extra-dimensional complexities.

Applied deconstruction to models including folded supersymmetry.

Abstract

Using the techniques of dimensional deconstruction, we present 4D models that fully reproduce the physics of 5D supersymmetric theories compactified on an S^1/Z_2 orbifold with general Scherk-Schwarz supersymmetry breaking (SSSB) boundary conditions. In contrast to previous approaches, our deconstruction involves only soft supersymmetry breaking. Deconstruction preserves many of the attractive features of SSSB without the cumbersome architecture of a full fifth dimension, ambiguity of the ultraviolet completion, or challenges associated with stabilizing a large radius of compactification. We proceed to deconstruct various five-dimensional models featuring Scherk-Schwarz boundary conditions, including folded supersymmetry.