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Transverse diffeomorphism and Weyl invariant massive spin 2: Linear theory

2015; American Physical Society; Volume: 91; Issue: 12 Linguagem: Inglês

10.1103/physrevd.91.125008

1550-7998

James Bonifacio, Pedro G. Ferreira, Kurt Hinterbichler,

Noncommutative and Quantum Gravity Theories

We use Kaluza-Klein reduction to construct flat-space massive spin-2 Lagrangians based on a kinetic term that has local Weyl and transverse-diffeomorphism gauge symmetries in the massless limit. This yields Lagrangians describing a free massive spin 2 which differ from the usual Fierz-Pauli theory, but are physically equivalent to it. These Lagrangians require the use of auxiliary fields, which appear naturally from the higher-dimensional construction. We discuss how these Lagrangians are related to each other and to the Fierz-Pauli theory through St\"uckelberg transformations, gauge fixings, and field replacements, and we use this to generalize the construction to spin-2 fields on Einstein manifolds.