How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples

Bekaert, Xavier; Boulanger, Nicolas; Sundell, Per

doi:10.48550/arxiv.1007.0435

Cited by 92 publications

(198 citation statements)

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“…Here the vectors |Λ s , |Λ 1 s are the vectors of zero-level and first-level gauge parameters of the abelian gauge transformations (5), which reflect the fact that the theory is the first-stage reducible gauge theory. The quantity Q in (3) is the BRST operator, constructed on the base of the constraints l 0 , l 1 , l + 1 , l 11 , l + 11 = 1 2 a +ν a + ν and contains the anticommuting ghost operators η 0 , η + 1 , η 1 , η + 11 , η 11 , P 0 , P 1 , P + 1 , P 11 , P + 11 ,…”

Section: Brst Lagrangian Formulation For Free Higher Spin Fieldsmentioning

confidence: 99%

“…Study of the various aspects of the higher spin fields theory is one of the topical trends in modern high-energy theoretical and mathematical physics (for a review, see, e.g. [1], [2], [4], [5], [6], [7] and the references therein). The current progress in higher spin field theory is closely related to a description of interactions between these fields.…”

Section: Introductionmentioning

confidence: 99%

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General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Buchbinder,

Reshetnyak

2021

Preprint

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We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities s 1 , s 2 , s 3 . Unlike the previous works on cubic vertices, which do not take into account of the trace constraints, we use the complete BRST operator, including the trace constraints that describe an irreducible representation with definite integer helicity. As a result, we generalize the cubic vertex found in [14] and calculate the new contributions to the vertex, which contain additional terms with a smaller number space-time derivatives of the fields as well as the terms without derivatives.

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Section: Brst Lagrangian Formulation For Free Higher Spin Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Buchbinder,

Reshetnyak

2021

Preprint

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“…In three space-time dimensions the situation is very different: on the one hand, Fronsdal's gauge fields with "spin" s > 1 do not propagate any local degree of freedom. 2 On the other hand, in D = 3 the Weyl tensor vanishes for any gravitational background and this suggests a possible way to avoid the no-go results for minimal coupling. This expectation was indeed confirmed by Aragone and Deser in [7].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

Campoleoni

Fredenhagen

Pfenninger

et al. 2010

J. High Energ. Phys.

497

1,112

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We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) \times SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W_3-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant

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“…12 In [29] a somewhat similar model was constructed by taking the associative limit of a gauge theory defined on non-associative fuzzy spaces, the difference being that in [29] the star product which does not satisfy the hermicity property (A.4) appeared instead of the Moyal product. 13 For a review of NC field theory see [30].…”

Section: Mhs Yang-mills Modelmentioning

confidence: 99%

“…[6,7,8,9]. 5 See [10,9,11,12] and reviews [13,5]. 6 One can avoid traditional no-go theorems by taking AdS spacetime as a background, allowing for Vasiliev higher spin program [15,2] to be developed, but so far only with partial success as no off-shell formulation of a consistent interacting HS QFT in d ≥ 4 exists.…”

Section: Introductionmentioning

confidence: 99%

Gauging the higher-spin-like symmetries by the Moyal product

Cvitan,

Prester,

Giaccari

et al. 2021

Preprint

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We analyze a novel approach to gauging rigid higher derivative (higher spin) symmetries of free relativistic actions defined on flat spacetime, building on the formalism originally developed by Bonora et al. and Bekaert et al. in their studies of linear coupling of matter fields to an infinite tower of higher spin fields. The off-shell definition is based on fields defined on a 2d-dimensional master space equipped with a symplectic structure, where the infinite dimensional Lie algebra of gauge transformations is given by the Moyal commutator. Using this algebra we construct well-defined weakly non-local actions, both in the gauge and the matter sector, by mimicking the Yang-Mills procedure. The theory allows for a description in terms of an infinite tower of higher spin spacetime fields only on-shell. Interestingly, Euclidean theory allows for such a description off-shell, which we used to calculate some basic 4-point tree-level amplitudes for matter fields. The ordinary spacetime matter does not scatter into non-trivial angles, while amplitudes for master matter have exponentially softer UV behaviour when compared to QED. Owing to its formal similarity to non-commutative field theories, the formalism allows for the introduction of a covariant potential which plays the role of the generalised vielbein. This covariant formulation uncovers the existence of other phases and shows that the theory can be written in a matrix model form. The symmetries of the theory are analyzed and conserved currents are explicitly constructed. By studying the spin-2 sector we show that the emergent geometry is teleparallel under disguise, with the induced linear connection being opposite to Weitzenböck's.

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How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples

Cited by 92 publications

References 0 publications

General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

Gauging the higher-spin-like symmetries by the Moyal product

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