Higher genus superstring amplitudes from the geometry of moduli spaces

Details Higher genus superstring amplitudes from the geometry of moduli spaces Higher genus superstring amplitudes from the geometry of moduli spaces

2005-06-27

arxiv.org/abs/hep-th/0506231v4

Nucl.Phys. B732 (2006) 321-340

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2005.10.036

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.

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