Auxiliary Field Methods in Supersymmetric Nonlinear Sigma Models

TL;DR

This paper explores auxiliary field techniques in supersymmetric nonlinear sigma models, introducing new models on rank-two Kahler coset spaces formulated as SUSY gauge theories with Fayet-Iliopoulos parameters.

Contribution

It develops new SUSY NLSMs on rank-two Kahler coset spaces using auxiliary field methods as SUSY gauge theories with two Fayet-Iliopoulos parameters.

Findings

Formulation of new SUSY NLSMs on rank-two Kahler coset spaces.

Use of auxiliary fields as Lagrange multipliers in SUSY models.

Representation of these models as SUSY gauge theories with Fayet-Iliopoulos parameters.

Abstract

Auxiliary field methods in D=2 (or 3), N=2 supersymmetric (SUSY) nonlinear sigma models (NLSMs) are studied. For these models auxiliary fields as Lagrange multipliers belong to a vector or a chiral superfield, which gives a Kahler quotient of complexified gauge group or a holomorphic constraint on it, respectively. Using these, NLSMs on all Hermitian symmetric spaces were formulated previously. In this paper, we formulate new SUSY NLSMs on some rank-two Kahler coset spaces as SUSY gauge theories with two Fayet-Iliopoulos parameters.