Schwinger-type parametrization of open string worldsheets

TL;DR

This paper introduces a new parametrization of open string worldsheets near degeneration points, simplifying the integration measures and connecting string theory to Feynman graph polynomials in the low-energy limit.

Contribution

It presents a novel parametrization of (super) moduli space near degenerations, linking string worldsheet integrals to Feynman graph polynomials as  o 0.

Findings

Feynman graph polynomials emerge as  o 0 limits of string moduli space objects.

String theory integration measures become simpler and more elegant with this parametrization.

The approach applies to worldsheets of arbitrary topology.

Abstract

A parametrization of (super) moduli space near the corners corresponding to bosonic or Neveu-Schwarz open string degenerations is introduced for worldsheets of arbitrary topology. With this parametrization, Feynman graph polynomials arise as the $\alpha ' \to 0$ limit of objects on moduli space. Furthermore, the integration measures of string theory take on a very simple and elegant form.