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Higher order self-dual models for spin-3 particles in D=2+1

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Autor(es):
Dalmazi, D. ; dos Santos, A. L. R. ; Lino dos Santos, R. R.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 98, n. 10, p. 9-pg., 2018-11-05.
Resumo

In D = 2 + 1 dimensions, elementary particles of a given helicity can be described by local Lagrangians (parity singlets). By means of a "soldering" procedure, two opposite helicities can be joined together and give rise to massive spin-s particles carrying both helicities +/- s (parity doublets), and such Lagrangians can also be used in D = 3 + 1 to describe massive spin-s particles. From this point of view the parity singlets (self-dual models) in D = 2 + 1 are the building blocks of real massive elementary particles in D = 3 + 1. In the three cases s = 1, 3/2, 2 there are 2s self-dual models of order 1; 2, ..., 2s in derivatives. In the spin-3 case the fifth order model is missing in the literature. Here we deduce a fifth order spin-3 self-dual model and fill up this gap. It is shown to be ghost free by means of a master action which relates it with the top model of sixth order. We believe that our approach can be generalized to arbitrary integer spin-s in order to obtain the models of order 2s and 2s - 1. We also comment on the difficulties in relating the fifth order model with their lower order duals. (AU)

Processo FAPESP: 16/09489-0 - Introdução aos modelos autoduais de spin-2 e spin-3
Beneficiário:Rafael Robson Lino dos Santos
Modalidade de apoio: Bolsas no Brasil - Iniciação Científica
Processo FAPESP: 17/23966-9 - Partículas de spin-2 e difeomorfismos transversais
Beneficiário:Rafael Robson Lino dos Santos
Modalidade de apoio: Bolsas no Brasil - Iniciação Científica