TL;DR
This paper discusses the potential for summing superstring theory's perturbation series, using super-Schottky variables to estimate and bound scattering amplitudes in superstring theory.
Contribution
It introduces super-Schottky group variables as a new measure for supermoduli space integrals, providing refined estimates and bounds for superstring scattering amplitudes.
Findings
Super-Schottky variables define a measure for supermoduli space integrals.
Upper bounds on superstring scattering amplitudes are derived.
Refined estimates of large-order bosonic string amplitudes are obtained.
Abstract
Several arguments are given for the summability of the superstring perturbation series. Whereas the Schottky group coordinatization of moduli space may be used to provide refined estimates of large-order bosonic string amplitudes, the super-Schottky group variables define a measure for the supermoduli space integral which leads to upper bounds on superstring scattering amplitudes.
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