The Wilson Effective K\"ahler Potential For Supersymmetric Nonlinear Sigma Models

TL;DR

This paper uses renormalization group techniques to analyze the Wilson effective K"ahler potential in supersymmetric nonlinear sigma models, revealing fixed points and strong coupling behavior.

Contribution

It provides an exact determination of the K"ahler potential for supersymmetric $CP^{(N-1)}$ models and explores their fixed point structure and nonperturbative features.

Findings

Exact K"ahler potential for $CP^{(N-1)}$ models

Identification of nontrivial ultraviolet fixed point

Indications of additional relevant operators or degrees of freedom

Abstract

Renormalization group methods are used to determine the evolution of the low energy Wilson effective action for supersymmetric nonlinear sigma models in four dimensions. For the case of supersymmetric $CP^{(N-1)}$ models, the K\"ahler potential is determined exactly and is shown to exhibit a nontrivial ultraviolet fixed point in addition to a trivial infrared fixed point. The strong coupling behavior of the theory suggests the possible existence of additional relevant operators or nonperturbative degrees of freedom.