Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-14
Phys.Lett. B624 (2005) 93-104
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, Latex. Notation clarified
Scientific paper
10.1016/j.physletb.2005.08.002
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.
Francia Dario
Sagnotti Augusto
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