Finiteness of multi-loop superstring amplitudes
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.hep-th/9801013,
title = {Finiteness of multi-loop superstring amplitudes},
author = {G. S. Danilov},
journal= {arXiv preprint arXiv:hep-th/9801013},
year = {2007}
}
Comments
16 pages, LaTeX