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

TL;DR

This paper explores a new mass invariant in a massive superspin one half model, revealing a BRST obstruction that affects the consistency of the action and introduces a novel mechanism distinct from anomalies.

Contribution

It introduces an extraordinary mass invariant with Zinn sources and discusses a BRST obstruction encountered during action completion in a supersymmetric model.

Findings

Discovery of an extraordinary mass invariant with Zinn sources.

Identification of a BRST obstruction during action completion.

Restoration of the supermultiplet by setting the obstruction coefficient to zero.

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 an `Extraordinary 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 this `Completion 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.