Abstract :
Global N = 2 supersymmetry in four dimensions with a gauged central charge is formulated in superspace. To find an irreducible representation of supersymmetry for the gauge connections a set of constraints is given. Then the Bianchi identities are solved subject to this set of constraints. It is shown that the gauge connection of the central charge is a N = 2 vector multiplet. Moreover the Bogomolʹnyi bound of the massive particle states is studied.
