A note on higher rank descriptions of massless and massive spin-1 particles

Dalmazi, D.; Barbosa, F. A. da Silva; Santos, A. L. F. dos

doi:10.1016/j.aop.2022.169127

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2024

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“…The BR model has inspired us to introduce a new bimetric model describing massive gravitons in D = 2 + 1. It is one specific example of a multiparametric family of new bimetric models in D = 2 + 1 that we are currently investigating beyond the linearized approximation [36].…”

Section: Discussionmentioning

confidence: 99%

More on dual actions for massive spin-2 particles

Dalmazi¹,

Santos²

2020

Class. Quantum Grav.

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Here we start from a dual version of Vasiliev’s first order action for massless spin-2 particles (linearized first order Einstein–Hilbert) and derive, via Kaluza–Klein dimensional reduction from D + 1 to D dimensions, a set of dual massive spin-2 models. This set includes the massive ‘BR’ model, a spin-2 analogue of the spin-1 Cremmer–Scherk model. In our approach the linearized Riemann curvature emerges from a solution of a functional constraint. In D = 2 + 1 the BR model can be written as a linearized version of a new bimetric model for massive gravitons. We also have a new massive spin-2 model, in arbitrary dimensions, invariant under linearized diffeomorphisms. It is given in terms of a non symmetric rank-2 tensor and a mixed symmetry tensor.

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Section: Discussionmentioning

confidence: 99%