BRST Analysis of the Supersymmetric Higher Spin Field Models

Abstract

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown that the problem of second class constraints disappears and the BRST procedure becomes much more simple than in tensorial nota- tion. Furthermore, we demonstrate that the BRST procedure automatically provides extra auxiliary components that belong in the set of supersymmetry auxiliary components. Finally, we demonstrate how supersymmetry transfo- rmations are realized in such an approach. As a result, we conclude that the BRST approach to higher spin supersymmetric theories allows to derive both the Lagrangian and the supersymmetry transformations. Although most part of the work is devoted to massless component supersymmetric models, we also discuss generalization for massive component supersymmetric models and for superfield models.

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Cited by in corpus (7)

• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Cubic interactions of arbitrary spin fields in 3d flat space
• Unfolded equations for massive higher spin supermultiplets in AdS_3
• BRST-BV approach to conformal fields