Massive spin-2 particle from a rank-2 tensor

Abstract

Here we obtain all possible second-order theories for a rank-2 tensor which describe a massive spin-2 particle. We start with a general second-order Lagrangian with ten real parameters. The absence of lower spin modes and the existence of two local field redefinitions leads us to only one free parameter. The solutions split into three one-parameter classes according to the local symmetries of the massless limit. In the class which contains the usual massive Fierz-Pauli theory, the subset of spin-1 massless symmetries is maximal. In another class where the subset of spin-0 symmetries is maximal, the massless theory is invariant under Weyl transformations and the mass term does not need to fit in the form of the Fierz-Pauli mass term. In the remaining third class neither the spin-1 nor the spin-0 symmetry is maximal and we have a new family of spin-2 massive theories.

17 pages, no figures

References in corpus (8)

• Resummation of Massive Gravity
• Infrared-modified gravities and massive gravitons
• Transverse Fierz-Pauli symmetry
• Acausality of Massive Gravity
• All Fierz-Paulian massive gravity theories have ghosts or superluminal modes
• Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity
• Dual Massive Gravity
• Nonuniqueness of the Fierz-Pauli mass term for a nonsymmetic tensor

Cited by in corpus (7)

• Massive "spin-2" theories in arbitrary $D\ge 3$ dimensions
• A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields
• Massive spin-2 particles in a curved background via a nonsymmetric tensor
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Massive spin-2 particles via embedment of the Fierz-Pauli equations of motion
• Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
• Absence of the Higuchi bound in a family of alternative linear massive spin-2 models