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arXiv · hep-th/9801013

Finiteness of multi-loop superstring amplitudes

G. S. Danilov
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Abstract

Superstring amplitudes of an arbitrary genus are calculated through super-Schottky parameters by a summation over the fermion strings. For a calculation of divergent multi-loop fermion string amplitudes a supermodular invariant regularization procedure is used. A cancellation of divergences in the superstring amplitudes is established. Grassmann variables are integrated, the superstring amplitudes are obtained to be explicitly finite and modular invariant.

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G. S. Danilov. 1998-01-05. Finiteness of multi-loop superstring amplitudes. https://arxiv.org/abs/hep-th/9801013

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