Vanishing Next-to-Leading Corrections to the \beta-Function of the SUSY CP^{N-1} Model in Three Dimensions

TL;DR

This paper investigates the ultraviolet behavior of the 3D supersymmetric CP^{N-1} sigma model, demonstrating that the beta-function receives no next-to-leading order corrections in the 1/N expansion, indicating certain ultraviolet stability.

Contribution

It provides a calculation of the beta-function at next-to-leading order and shows the absence of such corrections, revealing a key property of the model's ultraviolet behavior.

Findings

Beta-function has no next-to-leading order corrections.

Ultraviolet properties are stable at this order.

Supports theoretical understanding of supersymmetric sigma models.

Abstract

We study the ultraviolet properties of the supersymmetric CP^{N-1} sigma model in three dimensions to next-to-leading order in the 1/N expansion. We calculate the \beta-function to this order and verify that it has no next-to-leading order corrections.