1/N Expansion of the 2D CP^{N-1} Model on Non(anti)commutative Superspace

TL;DR

This paper investigates the ultraviolet properties of a deformed 2D supersymmetric CP^{N-1} model on non(anti)commutative superspace, revealing that the deformation affects UV divergences beyond leading order.

Contribution

It provides the first analysis of UV behavior of the deformed model, showing that the deformation introduces new divergences not present in the ordinary model.

Findings

Deformed model shares UV properties with the ordinary model at leading order.

UV divergences appear in next-to-leading order due to deformation.

Deformation impacts the renormalization structure of the model.

Abstract

We study UV properties of the two-dimensional supersymmetric CP^{N-1} model on non(anti)commutative superspace. We show that the deformed model has the same UV property as the ordinary model in the leading order of 1/N and the deformation give rise to UV divergence which cannot be dealt with in the next-to-leading order.