Duality for symmetric second rank tensors.(I): the massive case

Abstract

A generalization of duality transformations for arbitrary Lorentz tensors is presented, and a systematic scheme for constructing the dual descriptions is developed. The method, a purely Lagrangian approach, is based on a first order parent Lagrangian, from which the dual partners are generated. In particular, a family of theories which are dual to the massive spin two Fierz-Pauli field, both free and coupled to an external source, is constructed in terms of a third rank tensor which is taken as the basic configuration variable.

19 pages, no figures, revtex

Cited by in corpus (17)

• Duality for symmetric second rank tensors. II. The linearized gravitational field
• On the duality of massive Kalb-Ramond and Proca fields
• Massless spin-two field S-duality
• On Dual Formulations of Massive Tensor Fields
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
• Dual Massive Gravity
• Duality for massive spin two theories in arbitrary dimensions
• A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
• Massive spin-2 particle from a rank-2 tensor
• Supersymmetric extension of the nine-dimensional continuation of the Euler density with N=2
• Nonuniqueness of the Fierz-Pauli mass term for a nonsymmetic tensor
• A note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields
• Canonical analysis of Kalb-Ramond-Proca duality
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• More on dual actions for massive spin-2 particles
• A topological invariant in the context of the loop representation of the massive Kalb-Ramond-Klein-Gordon model
• Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants