On the M-theory description of gaugino condensation

TL;DR

This paper tests a proposal linking gaugino condensation in M-theory to supersymmetry breaking via a Scherk-Schwarz mechanism, revealing a discontinuity in spinorial parameters that aligns with condensation effects and offers a perturbative explanation for the gauge hierarchy.

Contribution

It provides an additional test of the M-theory description of gaugino condensation and connects it to a Scherk-Schwarz mechanism, offering new insights into supersymmetry breaking.

Findings

Discontinuity in spinorial parameters matches gaugino condensation effects.

Gaugino condensate identified with a quantized boundary condition parameter.

Mechanism explains the gauge hierarchy through unification gauge coupling.

Abstract

We present an additional test of the recent proposal for describing supersymmetry breaking due to gaugino condensation in the strong coupling regime, by a Scherk-Schwarz mechanism on the eleventh dimension of M-theory. An analysis of supersymmetric transformations in the infinite-radius limit reveals the presence of a discontinuity in the spinorial parameter, which coincides with the result found in the presence of gaugino condensation. The condensate is then identified with the quantized parameter entering the modification of the Scherk-Schwarz boundary conditions. This mechanism provides an alternative perturbative explanation of the gauge hierarchy that determines the scale of low-energy supersymmetry breaking in terms of the unification gauge coupling