Constrained BRST-BFV and BRST-BV Lagrangians for half-integer HS fields on $R^{1,d-1}$

Abstract

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a metric-like formulation in a $d$-dimensional flat space-time on the basis of a suggested constrained BRST approach. A Lorentz-invariant resolution of the BRST complex within the constrained BRST formulations produces a gauge-invariant Fang-Fronsdal Lagrangian entirely in terms of the initial triple gamma-traceless spin-tensor field ${\Psi }_{(\mu {)}_n}$ with gamma-traceless gauge parameter. The triplet and quartet formulations are derived. The minimal (un)constrained BRST--BV actions for above formulations are obtained, from proposed constrained BRST--BV approach to be by appropriate tools to construct interacting constrained Lagrangians.

11 pages, extended contribution to the Proceedings of the International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2017, 31.07.2017 - 5.08.2017, Dubna, Russia); 3 references, acknowledgements added, final version, typos corrected

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Cited by in corpus (4)

• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• BRST-BV approach for interacting higher spin fields