EXTENDED SUPERSYMMETRY WITH GAUGED CENTRAL CHARGE

Global N = 2 supersymmetry in four dimensions with a gauged central ch arge is formulated in superspace. To find an irreducible representatio n of supersymmetry for the gauge connections a set of constraints is g iven. Then the Bianchi identities are solved subject to this set of co nstraints. It is shown that the gauge connection of the central charge is a N = 2 vector multiplet. Moreover the Bogomol'nyi bound of the ma ssive particle states is studied.