Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons

A superfield formulation is presented of the central charge anomaly in quantum corrections to solitons in two-dimensional theories with N=1 supersymmetry. Extensive use is made of the superfield supercurrent that places the supercurrent J^μ_α, energy-momentum tensor Θ^μν, and topological current ζ^μ in a supermultiplet to study the structure of supersymmetry and related superconformal symmetry in the presence of solitons. It is shown that the supermultiplet structure of (J^μ_α,Θ^μν,ζ^μ) is kept exact while the topological current ζ^μ acquires a quantum modification through the superconformal anomaly. In addition, the one-loop superfield effective action is explicitly constructed to verify the BPS saturation of the soliton spectrum as well as the effect of the anomaly.