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Conformally and gauge invariant spin-2 field equations. (English) Zbl 1278.83023

Summary: Using an approach based on the Casimir operators of the de Sitter group, conformally invariant equations for a fundamental spin-2 field are obtained, and their consistency is 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 conformally and gauge invariant.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83A05 Special relativity
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
81T20 Quantum field theory on curved space or space-time backgrounds

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