Gaugino Condensation, Moduli Potentials and Supersymmetry Breaking in M-Theory Models

TL;DR

This paper derives the moduli-dependent effective potential in M-theory compactifications with gaugino condensation, revealing complex moduli interactions that could inform moduli stabilization and supersymmetry breaking.

Contribution

It provides an explicit form of the moduli-dependent potential in M-theory models with gaugino condensation, highlighting differences from weakly coupled heterotic string scenarios.

Findings

The effective potential's moduli dependence is more complex than previously thought.

Differences between M-theory and heterotic string gaugino condensates are identified.

Potential implications for moduli stabilization are discussed.

Abstract

We derive the explicit form, and discuss some properties of the moduli dependent effective potential arising from M-theory compactified on $M_4 \times X\times S^1 / Z_2 $, when one of the boundaries supports a strongly interacting gauge sector and induces gaugino condensation. We discuss the relation between the explicit gaugino condensate and effective superpotential formulations and find interesting differences with respect to the situation known from the weakly coupled heterotic string case. The moduli dependence of the effective potential turns out to be more complicated than expected, and perhaps offers new clues to the stabilization problem.