Gaugino Condensation in the Chiral and Linear Representation of the Dilaton

TL;DR

This paper compares gaugino condensation in chiral and linear dilaton representations within N=1 supersymmetric string effective theories, showing that supersymmetry breaking results are independent of the representation used.

Contribution

It demonstrates the equivalence of supersymmetry breaking outcomes in chiral and linear dilaton formulations using supersymmetric duality.

Findings

Supersymmetry breaking results are independent of dilaton representation.

Analysis performed in both truncated formalism and dual linear representation.

Results hold for the simple case of one gaugino condensate.

Abstract

String effective theories with N=1 supersymmetry in four dimensions are subject of the discussion. Gaugino condensation in the chiral representation of the dilaton is reviewed in the truncated formalism in the $U_{K}(1)$-superspace. Using the supersymmetric duality of the dilaton the same investigation is made in the linear representation of the dilaton. We show that for the simple case of one gaugino condensate the results concerning supersymmtry breaking are independent of the representation of the dilaton.