Dynamical supersymmetry breaking on magnetized tori and orbifolds

TL;DR

This paper constructs models of dynamical supersymmetry breaking within a ten-dimensional SYM theory compactified on magnetized tori and orbifolds, identifying configurations that trigger DSB through strong dynamics.

Contribution

It introduces specific flux and orbifold configurations that realize DSB in a unified string-inspired framework, including self-complete models with all extra fields eliminated.

Findings

Identified flux configurations that trigger DSB.

Constructed self-complete DSB models on orbifolds.

Discussed potential integration with visible and hidden sectors.

Abstract

We construct several dynamical supersymmetry breaking (DSB) models within a single ten-dimensional supersymmetric Yang-Mills (SYM) theory, compactified on magnetized tori with or without orbifolding. We study the case that the supersymmetry breaking is triggered by a strong dynamics of $SU(N_C)$ SYM theory with $N_F$ flavors contained in the four-dimensional effective theory. We show several configurations of magnetic fluxes and orbifolds, those potentially yield, below the compactification scale, the field contents and couplings required for triggering DSB. We especially find a class of self-complete DSB models on orbifolds, where all the extra fields are eliminated by the orbifold projection and DSB successfully occurs within the given framework. Comments on some perspectives for associating the obtained DSB models with the other sectors, such as the visible sector and another hidden sector for, e.g., stabilizing moduli, are also given.