Modular Invariance and the Finiteness of Superstring Theory
| dc.creator | Davis, Simon | |
| dc.date | 1995-04-01 | |
| dc.date | 1996-04-03 | |
| dc.date.accessioned | 2026-07-07T09:03:57Z | |
| dc.date.available | 2026-07-07T09:03:57Z | |
| dc.description | The genus-dependence of multi-loop superstring amplitudes is bounded at large orders in perturbation theory using the super-Schottky group parametrization of supermoduli space. Partial estimates of supermoduli space integrals suggest an exponential dependence on the genus when the integration region is restricted to a single fundamental domain of the super-modular group in the super-Schottky parameter space. Bounds for N-point superstring scattering amplitudes are obtained for arbitrary N and are shown to be consistent with exact results recently obtained for special type II string amplitudes for orbifold or Calabi-Yau compactifications. It is suggested that the generic estimates, which imply the validity of superstring perturbation theory in the weak-coupling limit, might be used to determine scattering amplitudes at strong coupling because of the S-duality of type II and heterotic string theories. Non-perturbative effects are consistent with these estimates, based on a sum over closed surfaces, because they can be derived from an additional contribution to the sum over surfaces corresponding to the insertion of Dirichlet boundaries. | |
| dc.description | 35 pages, TeX, 2 figures. This is the July version with several typographical corrections and 2 figures included | |
| dc.identifier | https://arxiv.org/abs/hep-th/9503231 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9503231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149199 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Modular Invariance and the Finiteness of Superstring Theory | |
| dc.type | text |