TL;DR
This paper re-derives and extends the understanding of worldsheet instanton effects in heterotic string theory, providing new formulas for superpotential and moduli space corrections, and clarifying the role of the B-field.
Contribution
It introduces a D-instanton approach to compute worldsheet instanton contributions and derives new formulas for moduli space corrections in heterotic and Type I string compactifications.
Findings
Derived a formula for superpotential contributions from worldsheet instantons.
Provided a new expression for moduli space metric corrections.
Clarified the interpretation of the B-field in the instanton path integral.
Abstract
We use a D-instanton or physical gauge approach to re-derive the heterotic string worldsheet instanton contribution to the superpotential in Calabi-Yau compactification. We derive an analogous formula for worldsheet instanton corrections to the moduli space metric in heterotic string or Type I compactification on a K3 surface. In addition, we give a global analysis of the phase of the worldsheet path integral of the heterotic string, showing precisely how the B-field must be interpreted.
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