The nonminimal scalar multiplet: duality, sigma-model, beta-function

TL;DR

This paper calculates the one-loop beta-function for a supersymmetric nonlinear sigma-model using a novel quantization approach for the nonminimal scalar multiplet, confirming classical duality at the quantum level.

Contribution

It introduces an efficient quantization method for the nonminimal scalar multiplet and demonstrates that its classical duality with chiral multiplets persists at one-loop quantum level.

Findings

Beta-function computed in superspace for the nonminimal scalar multiplet.

Quantum duality between nonminimal scalar and chiral multiplets is preserved.

Efficient handling of ghosts via Batalin-Vilkovisky formalism.

Abstract

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