Ei. Buchbinder et al., CENTRAL CHARGE AS THE ORIGIN OF HOLOMORPHIC EFFECTIVE ACTION IN N=2 GAUGE-THEORY, Modern physics letters A, 13(13), 1998, pp. 1071-1082
We show explicitly that the perturbative holomorphic contribution to t
he off-shell effective action of N = 2 U(1) gauge supermultiplet is an
entire effect of the minimal coupling to a hypermultiplet with the ma
ss generated by a central charge in N = 2 superalgebra. The central ch
arge is induced by a constant vacuum N = 2 gauge superfield strength s
pontaneously breaking the automorphism U(1)(R) symmetry of N = 2 super
algebra. We use the manifestly off-shell supersymmetric harmonic super
space techniques of quantum calculations with the central charge-massi
ve hypermultiplet propagator.