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Current Exchanges and Unconstrained Higher Spins

D. Francia J. Mourad 1 A. Sagnotti
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : The (Fang-)Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-)trace constraints on gauge fields and parameters. When these are relaxed, glimpses of the underlying geometry emerge: the field equations extend to non-local expressions involving the higher-spin curvatures, and with only a pair of additional fields an equivalent ''minimal'' local formulation is also possible. In this paper we complete the discussion of the ''minimal'' formulation for fully symmetric (spinor-) tensors, constructing one-parameter families of Lagrangians and extending them to (A)dS backgrounds. We then turn on external currents, that in this setting are subject to conventional conservation laws and, by a close scrutiny of current exchanges in the various formulations, we clarify the precise link between the local and non-local versions of the theory. To this end, we first show the equivalence of the constrained and unconstrained local formulations, and then identify a unique set of non-local Lagrangian equations which behave in exactly the same fashion in current exchanges.
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Submitted on : Friday, January 19, 2007 - 1:48:09 PM
Last modification on : Wednesday, October 21, 2020 - 4:32:12 PM

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D. Francia, J. Mourad, A. Sagnotti. Current Exchanges and Unconstrained Higher Spins. Nuclear Physics B, Elsevier, 2007, 773, pp.203-237. ⟨10.1016/j.nuclphysb.2007.03.021⟩. ⟨in2p3-00125418⟩



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