Discretized Superstring in Three Dimensional Superspace

TL;DR

This paper derives the partition function of a discretized superstring in three-dimensional superspace from a bosonic string model with an external field, simplifying the analysis of superstring quantization.

Contribution

It introduces a novel approach to discretized superstring partition functions by relating them to bosonic string models with external fields, enabling easier analytical treatment.

Findings

Partition function derived for discretized superstring in 3D superspace.

Connection established between superstring and bosonic string with external field.

Facilitates potential exact analytical solutions.

Abstract

The partition function of the discretized superstring in a target superspace of three (Euclidean) bosonic dimensions, is shown, for a fixed triangulation of the random world sheet, to be derived from the partition function of a discretized bosonic string with an external field present in the action in the form of a specific constant matrix, using first order forms of the actions. This latter partition function appears more amenable to an exact analytical treatment.