World-sheet corrections via D-instantons

  title={World-sheet corrections via D-instantons},
  author={Edward Witten},
  journal={Journal of High Energy Physics},
  • E. Witten
  • Published 7 July 1999
  • Physics
  • Journal of High Energy Physics
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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