Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace

TL;DR

This paper studies quantum corrections in a 2D supersymmetric sigma model on noncommutative superspace, showing its renormalizability and how non(anti)commutativity affects the model at one-loop order.

Contribution

It demonstrates the renormalizability of the 2D SUSY CP^{N-1} sigma model on noncommutative superspace and analyzes the effects of C-deformation at one-loop.

Findings

Model is renormalizable at one-loop.

N=2 SUSY sector remains unaffected by C-deformation.

Non(anti)commutativity parameter C receives infinite renormalization.

Abstract

We investigate quantum corrections in two-dimensional CP^{N-1} supersymmetric nonlinear sigma model on noncommutative superspace. We show that this model is renormalizable, the N=2 SUSY sector is not affected by the C-deformation and that the non(anti)commutativity parameter C receives infinite renormalization at one-loop order. And it is the renormalizability of the model at one-loop order.