Construction of a Novel Superstring in Four Dimensions

TL;DR

This paper constructs a consistent four-dimensional superstring model with supersymmetry, modular invariance, and realistic symmetry groups, by supplementing the string with Majorana fermions and applying GSO projections.

Contribution

It introduces a novel superstring construction in four dimensions using Majorana fermions, ensuring supersymmetry and modular invariance.

Findings

Superstring in four dimensions with 44 Majorana fermions constructed.

Supersymmetry and modular invariance established in the model.

Low energy symmetry group identified as SU(3)x SU(2)x U(1)x U(1).

Abstract

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The central charge is 26. The fermions are grouped in such a way that the resulting action is supersymmetric. The super-Virasoro algebra is constructed and closed by the use of Jacobi identity. The tachyonic ground state decouples from the physical states. GSO projections are necessary for proving modular invariance and space-time supersymmetry is shown to exist for modes of zero mass. The symmetry group of the model desends to the low energy group SU(3)x SU(2)x U(1)x U(1).