Square root of a relativistic top

A new classical supersymmetric physical system, which is an extension of the usual supersymmetric point-particle system, is studied. I start by considering a Regge trajectory constraint of the form Psup(μ)Psub(μ)-(m20/R2) 1/2 Σsup(μν)Σsub(μν) + m20 approx.= 0, where Psup(μ) is the linear momentum, Σsup(μν) is the internal angular momentum of a spinning particle and m0 and R are constants of motion. I use the method of Teitelboim to find the square root of such a trajectory. An interesting result is that in addition to the usual anticommuting variables THETAsup(μ) associated with the momentum Psup(μ), I obtain new anticommuting variables THETAsup(μν) associated with the internal angular momentum Σsup(μν). (orig.)