Central Charge as the Origin of Holomorphic Effective Action in N=2 Gauge Theory

E. I. Buchbinder, I. L. Buchbinder, E. A. Ivanov, S. M. Kuzenko

Published 1998-03-21, updated 1998-04-04Version 2

We explicitly demonstrate that the perturbative holomorphic contribution to the off-shell effective action of N=2 U(1) gauge supermultiplet is an entire effect of the minimal coupling to a hypermultiplet with the mass generated by a central charge in N=2 superalgebra. The central charge is induced by a constant vacuum N=2 gauge superfield strength spontaneously breaking the automorphism U(1)_R symmetry of N=2 superalgebra. We use the manifestly off-shell supersymmetric harmonic superspace techniques of quantum calculations with the central charge-massive hypermultiplet propagator.