On geometric equations and duality for free higher spins

Bekaert, Xavier; Boulanger, Nicolas

doi:10.1016/s0370-2693(03)00409-x

Cited by 146 publications

(202 citation statements)

References 20 publications

(51 reference statements)

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“…In this way we can express any EA or any eom in terms of R (s) and traces (in the second set of indices) thereof. Further formulations of eoms that are local and include mixed symmetry cases can be found in [58,59]. Since above we have referred to [4,5], we feel that, to end this section, it is opportune for us to clarify the context in which our results are derived and point out the differences with the spirit of [4,5,39,40].…”

Section: Jhep01(2018)080mentioning

confidence: 99%

One-loop effective actions and higher spins. Part II

Bonora¹,

Cvitan²,

Prester³

et al. 2018

J. High Energ. Phys.

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In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the geometrization of the results obtained there, that is we express them in terms of covariant Jacobi tensors. The second subject concerns the treatment of tadpoles and seagull terms in order to implement off-shell covariance in the initial model. The last and by far largest part of the paper is a repository of results concerning all two point correlators (including mixed ones) of symmetric currents of any spin up to 5 and in any dimensions between 3 and 6. In the massless case we also provide formulas for any spin in any dimension.

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Section: Jhep01(2018)080mentioning

confidence: 99%

One-loop effective actions and higher spins. Part II

Bonora¹,

Cvitan²,

Prester³

et al. 2018

J. High Energ. Phys.

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“…In D = 4, they correspond to the Bargmann-Wigner equations [2], originally expressed in terms of two-component tensor-spinors in the representation (s, 0) ⊕ (0, s) of SL(2, C) . They were generalized to D > 4 in [9,16] for arbitrary tensorial UIRs of the Poincaré group, and in [12] for spinoral UIRs. The main idea is to start with a tensor field that is (on-shell) irreducible under the Lorentz group O(D − 1, 1) with symmetries labeled by the Young tableau depicted by (6).…”

Section: Higher-derivative Unconstrained Approachmentioning

confidence: 99%

Tensor Gauge Fields in Arbitrary Representations of GL(D, $${\mathbb{R})}$$ : II. Quadratic Actions

Bekaert

Boulanger

2007

Commun. Math. Phys.

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155

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Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulationà la MacDowell-Mansouri, without any trace constraint in the tangent indices.

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“…In fact, as noticed in [58], evidence for non-locality shows up already at the quartic level. The geometric formulation of free massless higher spins also hints towards the same, as they generically yield non-local EoMs [59,60] if higher-derivative terms are not considered [61,62].…”

Section: Jhep08(2012)093mentioning

confidence: 88%

“…(A.24) and (A.26), the two highest curls of the Fronsdal tensor boil down to objects we have already enlisted in subsection B.1, and therefore need not be considered separately. These equations are generalizations of the Damour-Deser relations [81] (see also [61,62]). For spin 5 2 , in particular, they make it sufficient to consider only symmetrized derivatives of the Fronsdal tensor.…”

Section: Jhep08(2012)093mentioning

confidence: 99%

Higher-spin fermionic gauge fields and their electromagnetic coupling

Henneaux

Gómez

Rahman

2012

J. High Energ. Phys.

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Abstract:We study the electromagnetic coupling of massless higher-spin fermions in flat space. Under the assumptions of locality and Poincaré invariance, we employ the BRST-BV cohomological methods to construct consistent parity-preserving off-shell cubic 1 − s − s vertices. Consistency and non-triviality of the deformations not only rule out minimal coupling, but also restrict the possible number of derivatives. Our findings are in complete agreement with, but derived in a manner independent from, the light-cone-formulation results of Metsaev and the string-theory-inspired results of Sagnotti-Taronna. We prove that any gauge-algebra-preserving vertex cannot deform the gauge transformations. We also show that in a local theory, without additional dynamical higher-spin gauge fields, the non-abelian vertices are eliminated by the lack of consistent second-order deformations.

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On geometric equations and duality for free higher spins

Abstract: We provide a general scheme for dualizing higher-spin gauge fields in arbitrary irreducible representations of GL(D, R). We also give a recipe for constructing Fronsdal-like field equations and Lagrangians for such exotic fields.

Cited by 146 publications

References 20 publications

One-loop effective actions and higher spins. Part II

One-loop effective actions and higher spins. Part II

Tensor Gauge Fields in Arbitrary Representations of GL(D, $${\mathbb{R})}$$ : II. Quadratic Actions

Higher-spin fermionic gauge fields and their electromagnetic coupling

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