Summability of Superstring Theory

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.

11 pages, TeX. A remark about C-cycles and dividing cycles and two references have been added to the paper

References in corpus (3)

• String techniques for the calculation of renormalization constants in field theory
• Multiloop World-Line Green Functions from String Theory
• On the Divergence of Perturbation Theory. Steps Towards a Convergent Series