Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

Details Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

2001-02-16

arxiv.org/abs/hep-th/0102104v1

Phys.Lett. B507 (2001) 336-344

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures

Scientific paper

10.1016/S0370-2693(01)00447-6

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the Fierz-Pauli description of a free massive spin-two system. The dual field is a three-index tensor T, which dinamically belongs to the (2,1) representation of the Lorentz group. As expected, the massless limit of our Lagrangian, which is parameter independent, has two propagating degrees of freedom per space point.

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