Supersymmetry and DLCQ Limit of Lie 3-algebra Model of M-theory

TL;DR

This paper explores a Lorentzian Lie 3-algebra model of M-theory, demonstrating its supersymmetry and its reduction to BFSS matrix theory in a DLCQ limit, thus supporting its validity as an M-theory model.

Contribution

It introduces a ghost-free Lorentzian Lie 3-algebra model of M-theory that maintains supersymmetry and reduces to known matrix theory in a specific limit.

Findings

Model is ghost-free despite Lorentzian signature

Possesses N=1 supersymmetry in eleven dimensions

Reduces to BFSS matrix theory in DLCQ limit

Abstract

In arXiv:1003.4694, we proposed two models of M-theory, Hermitian 3-algebra model and Lie 3-algebra model. In this paper, we study the Lie 3-algebra model with a Lorentzian Lie 3-algebra. This model is ghost-free despite the Lorentzian 3-algebra. We show that our model satisfies two criteria as a model of M-theory. First, we show that the model possesses N=1 supersymmetry in eleven dimensions. Second, we show the model reduces to BFSS matrix theory with finite size matrices in a DLCQ limit.