On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds

TL;DR

This paper explores how string duality can describe instanton-induced spontaneous supersymmetry breaking in string compactifications, linking heterotic and type II theories, and analyzing non-perturbative effects and their phenomenological implications.

Contribution

It demonstrates a geometric method to explicitly calculate supersymmetry breaking via instantons and shows how instanton corrections can overcome previous no-go theorems.

Findings

Instanton effects induce supersymmetry breaking in string compactifications.

The supersymmetry breaking scale can be in the TeV range.

Magnetic monopole condensation and confinement occur in the N=0 vacuum.

Abstract

We use string duality to describe instanton induced spontaneous supersymmetry breaking in string compactifications with additional background fields. Dynamical supersymmetry breaking by space-time instantons in the heterotic string theory is mapped to a tree level breaking in the type II string which can be explicitly calculated by geometric methods. It is argued that the instanton corrections resurrect the no-go theorem on partial supersymmetry breaking. The point particle limit describes the non-perturbative scalar potential of a SYM theory localized on a hypersurface of space-time. The N=0 vacuum displays condensation of magnetic monopoles and confinement. The supersymmetry breaking scale is determined by $M_{str}$, which can be in the TeV range, and the geometry transverse to the gauge theory.