Gaugino Condensation in Heterotic Fivebrane Background

TL;DR

This paper calculates the gaugino propagator in a heterotic fivebrane background, finding no propagation in certain spinor states and suggesting a scenario for gaugino condensation consistent with low-energy supergravity predictions.

Contribution

It provides an explicit string-theoretic calculation of gaugino propagation and condensation in a fivebrane background, linking world-sheet CFT results with low-energy supergravity insights.

Findings

No gaugino propagation in spinor representation of four-dimensional space.

Effective gaugino propagator only at far away from the fivebrane.

Consistent gaugino condensation scenario in heterotic supergravity.

Abstract

The gaugino propagator is calculated by explicitly considering the propagation of a heterotic string between two different points in space-time using the non-trivial world-sheet conformal field theory for the fivebrane background. We find that there are no propagations of gaugino which is in the spinor representation of the non-trivial four-dimensional space of the fivebrane background. This result is consistent with the arguments on the fermion zero-modes of the fivebrane background in the low-energy heterotic supergravity theory. Furthermore, assuming the continuous limit to the flat space-time background at the place far away from the fivebrane, we suggest an effective propagator which is effective only at the place far away from the fivebrane in the flat space-time limit. From the effective propagator we evaluate a possible gaugino pair condensation. The result is consistent with the suggested scenario of the gaugino condensation in the fivebrane background in the low-energy heterotic supergravity theory.