Calculation and modular properties of multi-loop superstring amplitudes
Abstract
Multi-loop superstring amplitude are calculated in the convenient gauge where Grassmann moduli are carried by the 2D gravitino field. Generally, instead of the modular symmetry, the amplitudes hold the symmetry under modular transformations added by relevant transformations of the 2D local supersymmetry. If a number of loops is larger than 3, the integration measures are not modular forms. In this case the expression for the amplitude contains an integral over the bound of the fundamental region of the modular group.
Cite
@article{arxiv.1211.3280,
title = {Calculation and modular properties of multi-loop superstring amplitudes},
author = {G. S. Danilov},
journal= {arXiv preprint arXiv:1211.3280},
year = {2012}
}
Comments
This is an author-created, un-copy-edited version of an article accepted for publication in Class. Quantum Grav. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any derived from it. Class. Quantum Grav. 29 (2012); The Version of Record is available on-line at http://stacks.iop.org/0264-9381/29/235009