Unification of the Poincare group with BRST and Parisi-Sourlas supersymmetries

The principles of quantum mechanics are used to derive the second-quantized field theory from the classical point particle. The fields of the field theory inevitably depend on two extra bosonic and two extra anticommuting coordinates. Previous treatments have used incorrect choices to fix the gauge for reparametrization invariance. The second-quantized BRST action is invariant under the supergroup IOSp(D,2/2) which contains the Poincare group as well as Parisi-Sourlas supersymmetries. One of the extra bosonic coordinates is the remnant for the point particle of a string length. (orig.)