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arXiv · 1505.06838

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

John A. Dixon
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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.

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John A. Dixon. 2015-06-10. An Extraordinary Mass Invariant and an Obstruction in a Massive Superspin One Half Model made with a Chiral Dotted Spinor Superfield. https://doi.org/10.1016/j.physletb.2015.07.056

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