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

CASINI, HORACIO; RAFAEL MONTEMAYOR; LUIS URRUTIA

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2001 vol. 507 p. 336 - 344

0370-2693

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.