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

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Author(s):
Dalmazi, D. ; dos Santos, A. L. R. ; Lino dos Santos, R. R.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 98, n. 10, p. 9-pg., 2018-11-05.
Abstract

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)

FAPESP's process: 16/09489-0 - Introduction to spin-2 and spin-3 self-dual models
Grantee:Rafael Robson Lino dos Santos
Support Opportunities: Scholarships in Brazil - Scientific Initiation
FAPESP's process: 17/23966-9 - Spin-2 particles and transverse diffeomorphisms
Grantee:Rafael Robson Lino dos Santos
Support Opportunities: Scholarships in Brazil - Scientific Initiation