Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-19
JHEP0809:058,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, no figures, revtex 4. Some new comments and explanations have been added and the notation homogeneized
Scientific paper
10.1088/1126-6708/2008/09/058
Using the parent Lagrangian approach we construct a dual formulation, in the sense originally proposed by Curtright and Freund, of a massive spin two Fierz-Pauli theory in arbitrary dimensions $D$. This is achieved in terms of a mixed symmetry tensor $T_{A[B_{1}B_{2}... B_{D-2}]}$, without the need of auxiliary fields. The relation of this method with an alternative formulation based on a gauge symmetry principle proposed by Zinoviev is elucidated. We show that the latter formulation in four dimensions, with a given gauge fixing together with a definite sequence of auxiliary fields elimination via their equations of motion, leads to the parent Lagrangian already considered by West completed by a Fierz-Pauli mass term, which in turns yields the Curtright-Freund action. This motivates our generalization to arbitrary dimensions leading to the corresponding extension of the four dimensional result. We identify the transverse true degrees of freedom of the dual theory and verify that their number is in accordance with those of the massive Fierz-Pauli field.
González Belinka
Khoudeir Adel
Montemayor R.
Urrutia Luis F.
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