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Using the parent Lagrangian method together with a dimensional reduction from$D$ to $(D-1)$ dimensions we construct dual theories for massive spin twofields in arbitrary dimensions in terms of a mixed symmetry tensor$T_{A[A_{1}A_{2}... A_{D-2}]}$. Our starting point is the well studied masslessparent action in dimension $D$. The resulting massive Stueckelberg-like parentactions in $(D-1)$ dimensions inherits all the gauge symmetries of the originalmassless action and can be gauge fixed in two alternative ways, yielding thepossibility of having either a parent action with a symmetric or anon-symmetric Fierz-Pauli field $e_{AB}$. Even though the dual sector in termsof the standard spin two field includes only the symmetrical part $e_{\{AB\}}$in both cases, these two possibilities yield different results in terms of thealternative dual field $T_{A[A_{1}A_{2}... A_{D-2}]}$. In particular, thenon-symmetric case reproduces the Freund-Curtright action as the dual to themassive spin two field action in four dimensions.

Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions