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Finiteness of multi-loop superstring amplitudes

1998/01/05 by G.S. Danilov, G. S. Danilov, Danilov, G. S.
Engineering · Physics and Astronomy · #Particle accelerators and beam dynamics #Physics of Superconductivity and Magnetism #Superconducting Materials and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9801013

16 pages, LaTeX

arxiv created 1998/01/05 · arxiv updated 2009/11/30

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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