Duality for symmetric second rank tensors. 1 The massive case

CASINI, HORACIO; RAFAEL MONTEMAYOR; LUIS URRUTIA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2002 vol. 66 p. 1 - 19

1550-7998

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.