Abstract
The relation between the spin and the mass of an infinite number of particles in a -deformed dual string theory is studied. For the deformation parameter a root of unity, in addition to the relation of such values of with the rational conformal field theory, the Fock space of each oscillator mode in the Fubini-Veneziano operator formulation becomes truncated. Thus, based on general physical grounds, the resulting spin-(mass) relation is expected to be below the usual linear trajectory. For such specific values of , we find that the linear Regge trajectory turns into a square-root trajectory as the mass increases.
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