Theory of a Novel Superstring in Four Dimension

TL;DR

This paper develops a four-dimensional superstring theory with a supersymmetric action, a consistent super-Virasoro algebra, and a realistic mass spectrum, breaking internal symmetry to resemble the Standard Model gauge group.

Contribution

It introduces a novel four-dimensional superstring model with a specific fermion grouping, supersymmetry, and a realistic mass spectrum, advancing string theory towards phenomenological relevance.

Findings

Constructed a supersymmetric superstring action in four dimensions.

Derived a consistent super-Virasoro algebra with closure.

Achieved a mass spectrum with fermions and bosons at each level, resembling particle physics.

Abstract

An open string in four dimensions is supplemented by forty four Majorana fermions. 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. After a GSO projection, the resulting physical mass spectrum is shown to be $\alpha' M_n^2 =n$ where $n=0, 1, 2, ...$. There are fermions and bosons in each mass level. The internal symmetry group of the string breaks to $SU(3) \times SU(2)\times U(1) \times U(1)$.