Asyzygies, modular forms, and the superstring measure I

Details Asyzygies, modular forms, and the superstring measure I Asyzygies, modular forms, and the superstring measure I

2004-11-17

arxiv.org/abs/hep-th/0411159v1

Nucl.Phys. B710 (2005) 58-82

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1016/j.nuclphysb.2004.12.021

The goal of this paper and of a subsequent continuation is to find some viable ansatze for the three-loop superstring chiral measure. For this, two alternative formulas are derived for the two-loop superstring chiral measure. Unlike the original formula, both alternates admit modular covariant generalizations to higher genus. One of these two generalizations is analyzed in detail in the present paper, with the analysis of the other left to the next paper of the series.

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