Non critical superstring configuration and Minkowski space time in four dimensions

TL;DR

This paper extends a non-perturbative bosonic string model to a supersymmetric version with a graviton background, exploring configurations that could relate to four-dimensional Minkowski spacetime.

Contribution

It introduces a supersymmetric world sheet action with a superpotential, advancing the understanding of non-critical superstring configurations in four dimensions.

Findings

Extended bosonic string action to N=1 supersymmetry

Incorporated graviton background into supersymmetric model

Proposed superpotential dependent on time super coordinate

Abstract

We extend the non-perturbative time-dependent bosonic string action of [3] to a N=1 supersymmetric world sheet action with graviton background, and assume a superpotential, function of the time super coordinate.