Scales of Gaugino Condensation and Supersymmetry Breaking in Nonstandard M-Theory Embeddings

TL;DR

This paper explores gaugino condensation and supersymmetry breaking in nonstandard M-theory compactifications, identifying viable models where condensation occurs at the weakest gauge coupling, consistent with effective 4D analysis.

Contribution

It provides new models of gaugino condensation in nonstandard embeddings with detailed spectra analysis and discusses their implications for supersymmetry breaking.

Findings

Gaugino condensation occurs on the weakest gauge coupling wall.

Condensate magnitude is below the scale of extra dimension resolution.

Comments on the size of the largest extra dimension and racetrack scenarios.

Abstract

We investigate the formation of dynamical gaugino condensates and supersymmetry breaking in the compactifications of Horava-Witten theory with perturbative nonstandard embeddings. Specific models are considered where the underlying massless charged states of the condensing sector are determined by the spectra of $Z_2 \times Z_2 $ and $Z_4 $ orbifolds with nonstandard embeddings. We find among them viable examples where gaugino condensation is triggered on the wall with the weakest gauge coupling at $M_{GUT} $. In all these cases the magnitude of the condensate formed is below the energy scales at which extra dimensions are resolved, and so justifies the analysis of condensation in an effective 4-dimensional framework. We make some comments concerning the size of the largest extra dimension in the models considered. We discuss racetrack scenarios in the framework of perturbative nonstandard embeddings.