Conformal and gauge invariant spin-2 field equations

Abstract

Using an approach based on the Casimir operators of the de Sitter group, the conformal invariant equations for a fundamental spin-2 field are obtained, and their consistency discussed. It is shown that, only when the spin-2 field is interpreted as a 1-form assuming values in the Lie algebra of the translation group, rather than a symmetric second-rank tensor, the field equation is both conformal and gauge invariant.

12 pages, no figures; accepted for publication in Gravitation & Cosmology

References in corpus (6)

• de Sitter special relativity
• A note on spin two fields in curved backgrounds
• Higher spin $m\ne 0$ excitations on curved backgrounds and cosmological supergravity
• Consistent Gravitationally-Coupled Spin-2 Field Theory
• The gravity of light
• Spin-2 fields and helicity

Cited by in corpus (3)

• Modified teleparallel gravity with higher-derivative torsion terms
• de Sitter transitivity, conformal transformations and conservation laws
• The higher spin Laplace operator in several vector variables