Current exchanges and unconstrained higher spins
The (Fang–) Fronsdal formulation for free fully symmetric (spinor-) tensors rests on ( γ-) 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, a...
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| Published in | Nuclear physics. B Vol. 773; no. 3; pp. 203 - 237 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
02.07.2007
North-Holland ; Elsevier [1967-....] |
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| Abstract | The (Fang–) Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (
γ-) 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. |
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| AbstractList | 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. The (Fang–) Fronsdal formulation for free fully symmetric (spinor-) tensors rests on ( γ-) 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. |
| Author | Mourad, J. Sagnotti, A. Francia, D. |
| Author_xml | – sequence: 1 givenname: D. surname: Francia fullname: Francia, D. email: francia@chalmers.se organization: Department of Fundamental Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden – sequence: 2 givenname: J. surname: Mourad fullname: Mourad, J. email: mourad@apc.univ-paris7.fr organization: AstroParticule et Cosmologie (APC) 1 1 Unité mixte de Recherche du CNRS (UMR 7164). , Université Paris VII, Campus Paris Rive Gauche, 10, rue Alice Domon et Leonie Duquet, F-75205, Paris cedex 13, France – sequence: 3 givenname: A. surname: Sagnotti fullname: Sagnotti, A. email: sagnotti@sns.it organization: Scuola Normale Superiore and INFN, Piazza dei Cavalieri, 7, I-56126 Pisa, Italy |
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| Snippet | The (Fang–) Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (
γ-) trace constraints on gauge fields and parameters. When these are... The (Fang-)Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-)trace constraints on gauge fields and parameters. When these are... |
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| SubjectTerms | High Energy Physics - Theory Physics |
| Title | Current exchanges and unconstrained higher spins |
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