Abstract
We present an alternative method of exploring the component structure of an arbitrary super-helicity (integer Y = s, or half odd integer Y = s+1/2 for any integer s) irreducible representation of the Super-Poincare group. We use it to derive the component action and the SUSY transformation laws. The effectiveness of this approach is based on the equations of motion and their properties, like the Bianchi identities. These equations are generated by the superspace action when it is expressed in terms of prepotentials. For that reason we reproduce the superspace action for arbitrary superhelicity, using unconstrained superfields. The appropriate, to use, superfields are dictated by the representation theory of the group and the requirement that there is a smooth limit between the massive and massless case.
Highlights
Higher spin field theory has a very rich history driving the developments of modern theoretical physics and after many decades still remains a very active subject
We present an alternative method of exploring the component structure of an arbitrary super-helicity irreducible representation of the Super-Poincare group
We use it to derive the component action and the SUSY transformation laws. The effectiveness of this approach is based on the equations of motion and their properties, like the Bianchi identities. These equations are generated by the superspace action when it is expressed in terms of prepotentials
Summary
Higher spin field theory has a very rich history driving the developments of modern theoretical physics and after many decades still remains a very active subject. In this current work we would like to show how representation theory of the Super- Poincare group makes these prepotential variables, building blocks for massive and massless theories and use them to reproduce the superspace actions that describe irreducible representations with arbitrary super-helicity. In the previous works, when discussion about the component field spectrum of the theories was given, it was based on θ-expansion of the superfields in the Wess-Zumino gauge This implied that by using that ansatz for the components and the usual rules of projection, the component action and the SUSY-transformation laws can be derived. The action itself, with the help of the Bianchi identities, will guide us to efficient definitions of the components, the derivation of the component action and the SUSY-transformation laws This approach builds naturally on [20] for the study of the component structure of super-helicity Y = 1 and discussions [21] on old-minimal supergravity. The conventions used are the ones of [21]
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