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arXiv · hep-th/9412179

Vanishing Theorems for the Self-Dual N=2 String

Nathan Berkovits
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Abstract

It is proven that up to possible surface terms, the only non-vanishing momentum-dependent amplitudes for the self-dual N=2 string in $R^{2,2}$ are the tree-level two and three-point functions, and the only non-vanishing momentum-independent amplitudes are the one-loop partition function and the tree-level two and four-point functions. The calculations are performed using the topological prescription developed in an earlier paper with Vafa. As in supersymmetric non-renormalization theorems, the vanishing proof is based on a relationship between the zero-momentum dilaton and axion.

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Nathan Berkovits. 1994-12-20. Vanishing Theorems for the Self-Dual N=2 String. https://doi.org/10.1016/0370-2693(95)00308-8

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