Light-cone formulation and spin spectrum of non-critical fermionic string

TL;DR

This paper constructs a free fermionic string model in light-cone variables for dimensions 2 to 9, analyzes its spin spectrum, and compares it to known string models, providing new insights into non-critical fermionic strings.

Contribution

It introduces a new fermionic string model in light-cone variables valid for non-critical dimensions and analyzes its spin spectrum and particle content.

Findings

Model is equivalent to fermionic massive string after GSO projection

Character generating functions are obtained for d=4

Particle content at low levels is numerically calculated

Abstract

A free fermionic string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<d<10$. It is shown that after the GSO projection this model is equivalent to the fermionic massive string and to the non-critical Rammond-Neveu-Schwarz string. The spin spectrum of the model is analysed. For $d=4$ the character generating functions is obtained and the particle content of first few levels is numerically calculated.