On the Unitarity of D=9,10,11 Conformal Supersymmetry

TL;DR

This paper investigates the unitarity conditions of conformal supersymmetry in dimensions 9, 10, and 11, utilizing recent classifications of unitary irreducible representations of specific superalgebras.

Contribution

It applies the latest classification of superalgebra representations to analyze unitarity in higher-dimensional conformal supersymmetry.

Findings

Identifies conditions for unitarity in D=9,10,11 conformal superalgebras.

Provides a classification framework for unitary representations in these dimensions.

Clarifies the structure of superalgebra representations relevant to high-dimensional supersymmetry.

Abstract

We consider the unitarity of D=9,10,11 conformal supersymmetry using the recently established classification of the UIRs of the superalgebras osp(1|2n,R).