N=2 supergravity and supercurrents

We address the problem of classifying all N = 2 supercurrent multiplets in four space-time dimensions. For this purpose we consider the minimal formulation of N = 2 Poincare supergravity with a tensor compensator, and derive its linearized action in terms of three N = 2 off-shell multiplets: an unconstrained scalar superfield, a vector multiplet, and a tensor multiplet. Such an action was ruled out to exist in the past. Using the action constructed, one can derive other models for linearized N = 2 supergravity by applying N = 2 superfield duality transformations. The action depends parametrically on a constant real isotriplet g(ij) = g(ji) not equal 0 which originates as an expectation value of the tensor compensator. Upon reduction to N = 1 superfields, we show that the model describes two dually equivalent formulations for the massless multiplet (1, 3/2) circle plus (3/2, 2) depending on a choice of g(ij). In the case g((11) over bar) = g((22) over bar) = 0, the action describes (i) new minimal N = 1 supergravity; and (ii) the Fradkin-Vasiliev-de Wit-van Holten gravitino multiplet. In the case g((12) over bar) = 0, on the other hand, the action describes (i) old minimal N = 1 supergravity; and (ii) the Ogievetsky-Sokatchev gravitino multiplet.