Minimal local Lagrangians for higher-spin geometry (TOPCITE: 71 citazioni in INSPIRE HEP)

The Fronsdal Lagrangians for free totally symmetric rank-s tensors ϕμ1...μs 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 αμ1...μs−3 and a rank-(s −4) Lagrange multiplier βμ1...μs−4 . In a similar fashion, we show that geometric equations for unconstrained rank-n totally symmetric spinor-tensors ψμ1...μn can be simply recovered from local Lagrangians with only two additional spinor-tensors, a rank-(n − 2) compensator ξμ1...μn−2 and a rank-(n−3) Lagrange multiplier λμ1...μn−3 .