II_{\infty} Factors and M-theory in Asymptotically Flat Space-Time

TL;DR

This paper proposes a covariant holographic formulation of M-theory at null infinity using Type II Von Neumann algebras, clarifying the link between supersymmetry and holography in asymptotically flat space-time.

Contribution

It introduces a novel covariant framework for M-theory at null infinity based on Type II Von Neumann algebras, offering an alternative to Fock space and clarifying supersymmetry-holography relations.

Findings

A covariant holographic formulation of M-theory is developed.

Type II Von Neumann algebra provides a new kinematic framework.

Preliminary insights into S-matrix equations and compactifications are discussed.

Abstract

I discuss a formulation of M-theory at null infinity, which is based on general principles of holographic space-time, and is manifestly covariant. The construction utilizes a certain Type II Von Neumann algebra, which provides a kinematic framework, alternative to Fock Space, for describing the scattering states of eleven dimensional asymptotically flat M-theory. The construction provides a greatly clarified statement of the connection between SUSY and holography. I make preliminary remarks about dynamical equations for the S-matrix, and compactifications.