Unitarity of higher derivative spin-3 models

• Autor(a) principal: Mendonça, E. L. [UNESP]
• Data de Publicação: 2020
• Outros Autores: Schimidt Bittencourt, R. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/j.aop.2020.168076; http://hdl.handle.net/11449/199967
• topic: D=2+1; Higher-derivative; Singh–Hagen; Spin-3; Unitarity

The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in D=2+1. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions includes non-unitary massless spin-2 modes. The linearized version of NMG is dual to the Fierz-Pauli model FP. Here we examine the unitarity of higher derivative spin-3 models, analogous to the NMG, dual to the Singh-Hagen model SH. We find that the same kind of restriction on the dimension of the space also happens in this case, and the models are physical only in D=2+1.