On the Finiteness of the N=4 SUSY Nonlinear Sigma Model in Three Dimensions

TL;DR

This paper constructs an { N}=4 supersymmetric nonlinear sigma model in three dimensions, demonstrating its finiteness at leading order in the 1/N expansion, which advances understanding of supersymmetric quantum field theories.

Contribution

It introduces a new { N}=4 supersymmetric nonlinear sigma model in three dimensions and proves its finiteness at leading order in the 1/N expansion.

Findings

The model is finite at leading order in 1/N.

The effective action was explicitly evaluated.

The construction expands understanding of supersymmetric models.

Abstract

We construct the {\cal N}=4 supersymmetric nonlinear sigma model in three dimensions which can be expanded in 1/N. We evaluate the effective action at leading order in the 1/N expansion and show the finiteness of the model to this order.