Gauging the Central Charge

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We gauge the central charge of the N=2 supersymmetry algebra in rigid superspace. The Fayet Sohnius hypermultiplet with gauged central charge coincides on-shell with N=2 supersymmetric electrodynamics. The gauge couplings of the vector-tensor multiplet turn out to be nonpolynomial.
10 pages, LaTeX, uses AMS-LaTeX. Ansatz for constraints on L changed, reference added

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