Parity singlets and doublets of massive spin-3 particles in D = 2 + 1 via Noether gauge embedding

• Autor(a) principal: Dalmazi, D. [UNESP]
• Data de Publicação: 2019
• Outros Autores: Mendonça, E. L. [UNESP], dos Santos, A. L.R.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1140/epjp/i2019-12762-3; http://hdl.handle.net/11449/190555

Here we demonstrate that the sixth-order (in derivatives) spin-3 self-dual model can be obtained from the fifth-order self-dual model via a Noether Gauge Embedding (NGE) of longitudinal Weyl transformations η( μ ν∂α )Φ. In the case of doublet models we can show that the massive spin-3 Singh-Hagen theory is dual to a fourth- and to a sixth-order theory, via a double round of the NGE procedure by imposing traceless longitudinal (reparametrization-like) symmetries ∂( μξ˜ ν α ) in the first round and transverse Weyl transformations η(μνψα)T in the second one. Our procedure automatically furnishes the dual maps between the corresponding fields. Contrary to the spin-2 case where an extra (Weyl) symmetry shows up in the highest-order term, in the spin-3 case only the required symmetries by the NGE procedure appear in the sixth-order doublet model. Consequently, the absence of ghosts still demands an auxiliary scalar field.