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
