Higher genus superstring amplitudes from the geometry of moduli spaces

Marco Matone; Roberto Volpato

doi:10.1016/j.nuclphysb.2005.10.036

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arXiv · hep-th/0506231

Higher genus superstring amplitudes from the geometry of moduli spaces

Marco Matone·Roberto Volpato

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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.

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Marco Matone, Roberto Volpato. 2005-10-10. Higher genus superstring amplitudes from the geometry of moduli spaces. https://doi.org/10.1016/j.nuclphysb.2005.10.036

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