Generating functions of (partially-)massless higher-spin cubic interactions

Joung, Euihun; López, L. A.; Taronna, Massimo

doi:10.1007/jhep01(2013)168

Cited by 72 publications

(100 citation statements)

References 97 publications

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“…[47][48][49][50], while, in the framework of ambient space metric-like approach, interacting higher-spin AdS fields are considered in refs. [51][52][53][54][55][56]. 11 In this respect, recent interesting discussion of 11 In frame-like approach, equations of motion for continuous-spin field were studied in ref.…”

Section: Discussionmentioning

confidence: 99%

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

Metsaev

2017

J. High Energ. Phys.

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Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields are studied. We consider parity invariant cubic vertices that involve one continuous-spin massless field and two arbitrary spin massive fields and parity invariant cubic vertices that involve two continuousspin massless fields and one arbitrary spin massive field. We construct the complete list of such vertices explicitly. Also we demonstrate that there are no cubic vertices describing consistent interaction of continuous-spin massless fields with arbitrary spin massless fields.

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Section: Discussionmentioning

confidence: 99%

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

Metsaev

2017

J. High Energ. Phys.

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“…Later on HS cubic interactions were considered by many authors in various setups (see, e.g., [61]- [65] and also [66,67] for the nonstandard full action proposal).…”

Section: Jhep10(2017)111mentioning

confidence: 99%

Current interactions and holography from the 0-form sector of nonlinear higher-spin equations

Vasiliev

2017

J. High Energ. Phys.

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The form of higher-spin current interactions in AdS 4 is derived from the full nonlinear higher-spin equations in the sector of Weyl 0-forms. The coupling constant in front of spin-one currents built from scalars and spinors as well as Yukawa coupling are determined explicitly. Couplings of all other higher-spin current interactions are determined implicitly. All couplings are shown to be independent of the phase parameter of the nonlinear higher-spin theory. The proper holographic dependence of the vertex on the higher-spin phase parameter is shown to result from the boundary conditions on the bulk fields.

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“…This is made possible by embedding the d-dimensional de Sitter spacetime into d + 1-dimensional Minkowski, i.e. we write γ µν dx µ dx ν = η AB dZ A dZ B | projected on d-dim dS hypersurface (this is similar in spirit to the method used in [42]). It is then easy to "covariantize" the d + 1-dimensional reference metric:…”

Section: Strategymentioning

confidence: 99%

Massive gravity on de Sitter and unique candidate for partially massless gravity

Rham

Renaux‐Petel

2013

J. Cosmol. Astropart. Phys.

129

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Abstract. We derive the decoupling limit of Massive Gravity on de Sitter in an arbitrary number of space-time dimensions d. By embedding d-dimensional de Sitter into d + 1-dimensional Minkowski, we extract the physical helicity-1 and helicity-0 polarizations of the graviton. The resulting decoupling theory is similar to that obtained around Minkowski. We take great care at exploring the partially massless limit and define the unique fully non-linear candidate theory that is free of the helicity-0 mode in the decoupling limit, and which therefore propagates only four degrees of freedom in four dimensions. In the latter situation, we show that a new Vainshtein mechanism is at work in the limit m 2 → 2H 2 which decouples the helicity-0 mode when the parameters are different from that of partially massless gravity. As a result, there is no discontinuity between massive gravity and its partially massless limit, just in the same way as there is no discontinuity in the massless limit of massive gravity. The usual bounds on the graviton mass could therefore equivalently well be interpreted as bounds on m 2 − 2H 2 . When dealing with the exact partially massless parameters, on the other hand, the symmetry at m 2 = 2H 2 imposes a specific constraint on matter. As a result the helicity-0 mode decouples without even the need of any Vainshtein mechanism.

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Generating functions of (partially-)massless higher-spin cubic interactions

Cited by 72 publications

References 97 publications

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields

Current interactions and holography from the 0-form sector of nonlinear higher-spin equations

Massive gravity on de Sitter and unique candidate for partially massless gravity

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