Minimal Supersymmetric CPN Models

TL;DR

This paper presents a counterexample in supersymmetric CPN models showing they can originate from constrained linear models, with implications for superstring theory and algebraic structures in supersymmetry.

Contribution

It introduces a counterexample for N=4 supersymmetric CPN models derived from constrained linear models, extending to all higher N with implications for superstring theories.

Findings

Counterexample for N=4 supersymmetric CPN models

Extension of the example to all higher N

Implications for superstring membrane theories

Abstract

Supersymmetric CPN models based on underlying bosonic Kahler manifolds have not been thought to arise directly from constrained linear ones. A counterexample for N=4 is presented using improved understanding of membranes in superstring theories leading to crucial central terms modifying the algebra of supercharge densities. The example has an immediate extension to all higher N.