GAUGINO CONDENSATION IN HETEROTIC FIVE-BRANE BACKGROUND

Abstract

The gaugino propagator is calculated by explicitly considering the propagation of a heterotic string between two different points in spacetime using the nontrivial worldsheet conformal field theory for the five-brane background. We find that there are no propagations of gaugino which is in the spinor representation of the nontrivial four-dimensional space of the five-brane background. This result is consistent with the arguments on the fermion zero-modes of the five-brane background in the low-energy heterotic supergravity theory. Furthermore, assuming the continuous limit to the flat spacetime background at the place far away from the five-brane, we suggest an effective propagator which is effective only at the place far away from the five-brane in the flat spacetime 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 five-brane background in the low-energy heterotic supergravity theory.