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Minimal Local Lagrangians for Higher-Spin Geometry
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The Fronsdal Lagrangians for free totally symmetric rank-s tensors rest on suitable trace constraints for their gauge parameters and gauge fields. Only when these constraints are removed, however, the resulting equations reflect the expected free higher-spin geometry. We show that geometric equations, in both their local and non-local forms, can be simply recovered from local Lagrangians with only two additional fields, a rank-(s-3) compensator and a rank-(s-4) Lagrange multiplier. In a similar fashion, we show that geometric equations for unconstrained rank-n totally symmetric spinor-tensors can be simply recovered from local Lagrangians with only two additional spinor-tensors, a rank-(n-2) compensator and a rank-(n-3) Lagrange multiplier.
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Cited by 2 Pith papers
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More on unconstrained descriptions of Higher Spin Massless Particles
A two-field local action for free massless higher-spin particles is proposed, reducing the auxiliary field content by promoting a Lagrange multiplier to a Weyl gauge symmetry.
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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
Lagrangian formulations for mixed-antisymmetric higher-spin fields with k-column Young tableaux are constructed via complete and incomplete BRST operators after converting constraints using Verma modules and Howe duality.
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