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

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.

14 pages

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Cited by in corpus (7)

• Zariski Quantization as Second Quantization
• Three-Algebra BFSS Matrix Theory
• Extension of IIB Matrix Model by Three-Algebra
• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• Four-algebraic extension of the IIB matrix model
• On the Structure Constants of Volume Preserving Diffeomorphism Algebra
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory