Para-quantum strings and Space-Time Non-Commutativity

Abstract

We investigate the light cone parabosonic open and closed string theories in a noncommutative space-time for the coordinates and the momentum.This provides distinct trilinear relations between mass-center variables and oscillators modes, that modifies the Virasoro algebra by again two distinct new anomaly terms. A Fock space redefinition makes possible the diagonalisation of the mass operator. Both the massless vectoriel and tensorial states conditions, impose more constraints on the states and then a reduction of the spectrum