An Extraordinary Mass Invariant and an Obstruction in a Massive Superspin One Half Model made with a Chiral Dotted Spinor Superfield

Abstract: An earlier paper introduced an action for a new kind of irreducible massive superspin one half multiplet, using BRST cohomological techniques including BRST Recycling'. A mass term was introduced in the earlier paper. A second mass term is discussed in this paper. This new mass invariant is anExtraordinary Invariant'--it has Zinn sources in it. The natural treatment for this situation is to Complete the Action' so that the new action yields zero for the BRST Poisson Bracket. In the present case, this Completion meets a BRST Obstruction. Setting the coefficient of thisCompletion Obstruction' to zero restores the massive superspin one half supermultiplet with a new mass made from the two mass terms. Usually an Obstruction appears as an Anomaly at one loop perturbation theory, but this is a different mechanism to produce it.