The non-minimal scalar multiplet: duality, σ-model, β-function

We compute in superspace the one-loop β-function for the non-linear σ-model defined in terms of the non-minimal scalar multiplet. The recently proposed quantization of this complex linear superfield, viewed as the field strength of an unconstrained gauge spinor superfield, allows one to efficiently handle the infinite tower of ghosts via the Batalin-Vilkovisky formalism. We find that the classical duality of the non-minimal scalar and chiral multiplets is maintained at the quantum one-loop level. (orig.)