Nonrenormalization Theorems in Superstring Theory

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Abstract
A simple proof of the nonrenormalization theorems in string theory is given. We prove (with the assumption that space-time supersymmetry is nonanomalous) that the space-time superpotential is not renormalized by string loops. As corollaries of this result we argue that in string perturbation theory, Calabi-Yau vacua (or any other classical solution with space-time supersymmetry) are solutions of the quantum equations of motion with zero cosmological constant, massless particles remain massless, and Yukawa couplings are not renormalized, to all orders.

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