Modular Invariant Formulation of Multi-Gaugino and Matter Condensation

TL;DR

This paper develops a modular invariant effective Lagrangian for hidden-sector gaugino condensation in string theories, incorporating nonperturbative corrections to stabilize the dilaton and moduli, with implications for gauge hierarchy and unification.

Contribution

It introduces a linear multiplet formulation for gaugino condensation that includes nonperturbative string effects, providing a new approach to moduli stabilization and gauge hierarchy enhancement.

Findings

Dilaton stabilized at a supersymmetry breaking minimum.

Moduli stabilized at self-dual points with vanishing F-components.

Enhanced gauge hierarchy compared to E8 case.

Abstract

Using the linear multiplet formulation for the dilaton superfield, we construct an effective lagrangian for hidden-sector gaugino condensation in string effective field theories with arbitrary gauge groups and matter. Nonperturbative string corrections to the K\"ahler potential are invoked to stabilize the dilaton at a supersymmetry breaking minimum of the potential. When the cosmological constant is tuned to zero the moduli are stabilized at their self-dual points, and the vev's of their F-component superpartners vanish. Numerical analyses of one- and two-condensate examples with massless chiral matter show considerable enhancement of the gauge hierarchy with respect to the E_8 case. The nonperturbative string effects required for dilaton stabilization may have implications for gauge coupling unification. As a comparison, we also consider a parallel approach based on the commonly used chiral formulation.