Duality in N=2 nonlinear sigma-models

TL;DR

This paper investigates N=2 supersymmetric nonlinear sigma-models in two dimensions, demonstrating that classical duality persists at the quantum one-loop level using superspace and Batalin-Vilkovisky quantization.

Contribution

It explicitly computes the one-loop beta function for models with nonminimal scalar multiplets and confirms the quantum preservation of classical duality.

Findings

Classical duality is maintained at one-loop level.

Explicit one-loop beta function calculation for nonminimal scalar multiplet models.

Application of Batalin-Vilkovisky quantization to these models.

Abstract

We consider N=2 supersymmetric nonlinear sigma-models in two dimensions defined in terms of the nonminimal scalar multiplet. We compute in superspace the one-loop beta function and show that the classical duality between these models and the standard ones defined in terms of chiral superfields is maintained at the quantum one-loop level. Our result provides an explicit application of the recently proposed quantization of the nonminimal scalar multiplet via the Batalin-Vilkovisky procedure.