Theory of a Novel Superstring in Four Dimension

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 $SU(3) \times SU(2)\times U(1) \times U(1)$.