Transverse diffeomorphism and Weyl invariant massive spin 2: Linear theory

2015/01/31 by James Bonifacio, Pedro G. Ferreira, Kurt Hinterbichler · 23 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Diffeomorphism #Gauge boson #Gauge fixing #Gauge theory #Geometry #Gravitation #Graviton #Homogeneous space #Invariant (physics) #Massive gravity #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Spin (aerodynamics) #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.91.125008

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(12) (American Physical Society) · 37 pages, 2 figures. v3 some statements on equivalence corrected

openalex publication_date 2015/06/08 · openalex created_date 2016/06/24 · arxiv created 2017/09/22 · arxiv updated 2017/09/25 · openalex updated_date 2026/08/05

Abstract

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.

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