Parity-violating vertices for spin-3 gauge fields

Boulanger, Nicolas; Leclercq, Serge; Cnockaert, Sandrine

doi:10.1103/physrevd.73.065019

Cited by 42 publications

(38 citation statements)

References 32 publications

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“…This vertex exists for any triples of spins with odd sum satisfying strict triangle inequalities. For s 1 " s 2 " s 3 " 3, the expression (4.42) reproduces the vertex found by Boulanger, Leclerq and Cnockaert in [68]. To our best knowledge, the latter is the only example known in literature of parity-odd cubic vertices of HS fields in three dimensions.…”

Section: Two-derivative Verticessupporting

confidence: 76%

Cubic interactions of massless bosonic fields in three dimensions. II. Parity-odd and Chern-Simons vertices

Kessel

Mkrtchyan

2018

Phys. Rev. D

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This work completes the classification of the cubic vertices for arbitrary-spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a unique parity-odd vertex for any given triple s 1 ≥ s 2 ≥ s 3 ≥ 2 of massless bosons if the triangle inequalities are satisfied (s 1 < s 2 þ s 3 ) and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum s 1 þ s 2 þ s 3 . A nontrivial relation between parityeven and parity-odd vertices is found. Similarly to the parity-even case, the scalar and Maxwell matter can couple to higher spins through current couplings with higher derivatives. We comment on possible lessons for two-dimensional conformal field theory. We also derive both parity-even and parity-odd vertices with Chern-Simons fields and comment on the analogous classification in two dimensions.

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Section: Two-derivative Verticessupporting

confidence: 76%

Cubic interactions of massless bosonic fields in three dimensions. II. Parity-odd and Chern-Simons vertices

Kessel

Mkrtchyan

2018

Phys. Rev. D

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“…If this first-order non-abelian deformation turned out to exist, then there would be no other one, under the assumptions stated above. The relaxation of the parity symmetry requirement and the special case n = 3 also deserve more study [42].…”

Section: Jhep01(2006)052mentioning

confidence: 99%

Spin three gauge theory revisited

Bekaert

Boulanger

Cnockaert

2006

J. High Energy Phys.

Self Cite

105

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Abstract:We study the problem of consistent interactions for spin-3 gauge fields in flat spacetime of arbitrary dimension n > 3. Under the sole assumptions of Poincaré and parity invariance, local and perturbative deformation of the free theory, we determine all nontrivial consistent deformations of the abelian gauge algebra and classify the corresponding deformations of the quadratic action, at first order in the deformation parameter. We prove that all such vertices are cubic, contain a total of either three or five derivatives and are uniquely characterized by a rank-three constant tensor (an internal algebra structure constant). The covariant cubic vertex containing three derivatives is the vertex discovered by Berends, Burgers and van Dam, which however leads to inconsistencies at second order in the deformation parameter. In dimensions n > 4 and for a completely antisymmetric structure constant tensor, another covariant cubic vertex exists, which contains five derivatives and passes the consistency test where the previous vertex failed.

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“…This old programme is still far away from completion even though encouraging progresses have been obtained over the years. On the one hand, the problem of consistent interactions among only higher-spin gauge fields (hence without gravity) in Minkowski space-time R n−1,1 was addressed in [12][13][14][15][16] (and refs therein) where some positive results have been obtained at first order in the perturbation. In the light-cone gauge, three-point couplings between completely symmetric gauge fields with arbitrary spins s > 2 were constructed in [12].…”

Section: Fronsdal's Programmementioning

confidence: 99%

“…In the spin-2 and spin-3 parity-breaking cases, the first-order deformations of the gauge transformations schematically read (for the detailed expressions, see the second ref. of [25] and [16])…”

Section: Non-abelian Gauge Transformationsmentioning

confidence: 99%

“…An important physical question is whether or not these first-order gauge symmetry deformations possess some Lagrangian counterpart. The following theorem provides a sufficient condition [15,16,24,25]. µνρ ] = f [abc] S abc + g [abc] T abc + δ n 3 f [abc] U abc + δ n 5 g (abc) V abc of cubic functionals respectively containing three, five, two and four derivatives.…”

Section: Cubic Verticesmentioning

confidence: 99%

See 1 more Smart Citation

On Killing tensors and cubic vertices in higher‐spin gauge theories

Bekaert

Boulanger

Cnockaert

et al. 2006

Fortschritte der Physik

100

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Based on a talk given by X.B. at the RTN Workshop "Constituents, Fundamental Forces and Symmetries of the Universe" (Corfu, 20-26th September 2005). Contribution to the Proceedings. AbstractThe problem of determining all consistent non-Abelian local interactions is reviewed in flat space-time. The antifield-BRST formulation of the free theory is an efficient tool to address this problem. Firstly, it allows to compute all on-shell local Killing tensor fields, which are important because of their deep relationship with higher-spin algebras. Secondly, under the sole assumptions of locality and Poincaré invariance, all non-trivial consistent deformations of a sum of spin-three quadratic actions deforming the Abelian gauge algebra were determined. They are compared with lower-spin cases.

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Parity-violating vertices for spin-3 gauge fields

Cited by 42 publications

References 32 publications

Cubic interactions of massless bosonic fields in three dimensions. II. Parity-odd and Chern-Simons vertices

Cubic interactions of massless bosonic fields in three dimensions. II. Parity-odd and Chern-Simons vertices

Spin three gauge theory revisited

On Killing tensors and cubic vertices in higher‐spin gauge theories

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