Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Current Exchanges and Unconstrained Higher Spins   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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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph