Measures on Banach Manifolds, Random Surfaces, and Nonperturbative String Field Theory with Cut-offs

TL;DR

This paper develops a cut-off nonperturbative string field theory in the light-cone gauge, demonstrating the continuity of the partition function and proposing a link to Riemann surfaces.

Contribution

It introduces a cut-off approach to nonperturbative string field theory and explores its mathematical properties and connections to geometric structures.

Findings

Partition function is continuous in the string coupling constant.

A conjectured relation between the partition function's expansion and Riemann surfaces.

Construction of a cut-off version of string field theory in the light-cone gauge.

Abstract

We construct a cut-off version of nonpertubative closed Bosonic string field theory in the light-cone gauge with imaginary string coupling constant. We show that the partition function is a continuous function of the string coupling constant, and conjecture a relation between the formal power series expansion of this partition function and Riemann Surfaces.