Lorentzian algebra for the superstring

Abstract

A Lorentzian algebra is constructed that underlies the covariant formulation of the spinning string. It is a simply laced hyperbolic Kac-Moody algebra having a realization on the ghost-extended spectrum of string states. From the weight space of this algebra, we obtain a unique indefinite superalgebra that has a realization on the superstring spectrum and that automatically implements the Gliozzi-Scherk-Olive projection.