English

Higher genus superstring amplitudes from the geometry of moduli spaces

High Energy Physics - Theory 2007-05-23 v4 Algebraic Geometry

Abstract

We show that the higher genus 4-point superstring amplitude is strongly constrained by the geometry of moduli space of Riemann surfaces. A detailed analysis leads to a natural proposal which satisfies several conditions. The result is based on the recently derived Siegel induced metric on the moduli space of Riemann surfaces and on combinatorial products of determinants of holomorphic abelian differentials.

Keywords

Cite

@article{arxiv.hep-th/0506231,
  title  = {Higher genus superstring amplitudes from the geometry of moduli spaces},
  author = {Marco Matone and Roberto Volpato},
  journal= {arXiv preprint arXiv:hep-th/0506231},
  year   = {2007}
}

Comments

23 pp. A change in citing, to appear in Nucl. Phys. B