On the cubic interactions of massive and partially-massless higher spins in (A)dS

Self Cite

Generating functions encoding cubic interactions of (partially-)massless higherspin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their factorized form. We find that the number of consistent couplings increases whenever the squares of the field masses take some integer values (in units of the cosmological constant) and satisfy certain conditions. Moreover, it is shown that only the supplemental solutions can give rise to non-Abelian deformations of the gauge symmetries. The presence of these conditions on the masses is a distinctive feature of (A)dS interactions that has in general no direct counterpart in flat space.

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Joung

López

Taronna

2013

Self Cite

“…[52][53][54][55][56][57]. This would help us understand better the rather intricate structure of the Vasiliev higher-spin systems [58][59][60], by possibly leading us a step closer to a yet-to-be-found standard action.…”

Section: Jhep01(2014)087mentioning

confidence: 93%

Gravitational interactions of higher-spin fermions

Henneaux

Gómez

Rahman

2014

Abstract:We investigate the cubic interactions of a massless higher-spin fermion with gravity in flat space and present covariant 2 − s − s vertices, compatible with the gauge symmetries of the system, preserving parity. This explicit construction relies on the BRST deformation scheme that assumes locality and Poincaré invariance. Consistent nontrivial cubic deformations exclude minimal gravitational coupling and may appear only with a number of derivatives constrained in a given range. Derived in an independent manner, our results do agree with those obtained from the light-cone formulation or inspired by string theory. We also show that none of the Abelian vertices deform the gauge transformations, while all the non-Abelian ones are obstructed in a local theory beyond the cubic order.

“…For AdS space, in particular, those could be avoided by using the ambient-space formulation [68][69][70]. If so, one would be able to construct off-shell vertices for AdS, and compare them with the recently-obtained results of [71][72][73][74][75][76]. This would be one step towards finding a standard action for the Vasiliev systems [77][78][79][80], which are a consistent set of non-linear equations for symmetric tensors of arbitrary rank in any number of dimensions.…”

Section: Jhep08(2012)093mentioning

confidence: 99%

Higher-spin fermionic gauge fields and their electromagnetic coupling

Henneaux

Gómez

Rahman

2012

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.