Auxiliary Field Formulation of Supersymmetric Nonlinear Sigma Models

TL;DR

This paper presents an auxiliary field formulation for 2D N=2 supersymmetric nonlinear sigma models on hermitian symmetric spaces, enabling exact integration over auxiliary superfields to define target manifolds.

Contribution

It introduces a novel auxiliary superfield approach that simplifies the analysis of supersymmetric sigma models on hermitian symmetric spaces.

Findings

Exact integration over auxiliary vector superfields is achieved.

D- and F-term constraints define the target manifolds.

The formulation facilitates analysis of supersymmetric models.

Abstract

Two dimensional N=2 supersymmetric nonlinear sigma models on hermitian symmetric spaces are formulated in terms of the auxiliary superfields. If we eliminate auxiliary vector and chiral superfields, they give D- and F-term constraints to define the target manifolds. The integration over auxiliary vector superfields, which can be performed exactly, is equivalent to the elimination of the auxiliary fields by the use of the classical equations of motion.