Simple Nonadditive Dual Resonance Model

Abstract

A nonadditive model with spin degrees of freedom but no internal symmetry is studied. It is necessary to work in a space of ten or more dimensions in order to obtain a Hermitian Hamiltonian. The model possesses physical-particle creation operators and, rather surprisingly for a nonadditive model, all trajectories are linear. In ten dimensions the model appears to be equivalent to the Neveu-Schwarz model, but the trajectories with half-integral intercept are obtained even though all our operators have integral $n$. The gauge conditions associated with the $L$ and $K$ algebras are almost certainly sufficient to remove all the ghosts.