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 the same fashion in current exchanges.
|Titolo:||Current exchanges and unconstrained higher spins|
|Data di pubblicazione:||2007|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.nuclphysb.2007.03.021|
|Appare nelle tipologie:||1.1 Articolo in rivista|