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Three-Algebra BFSS Matrix Theory

By Matsuo Sato

Abstract

We extend the BFSS matrix theory by means of Lie 3-algebra. The extended model possesses the same supersymmetry as the original BFSS matrix theory, and thus as the infinite momentum frame limit of M-theory. We study dynamics of the model by choosing the minimal Lie 3-algebra that includes u(N) algebra. We can solve a constraint in the minimal model and obtain two phases. In one phase, the model reduces to the original matrix model. In another phase, it reduces to a simple supersymmetric model.Comment: 17 page

Topics: High Energy Physics - Theory
Publisher: 'World Scientific Pub Co Pte Lt'
Year: 2013
DOI identifier: 10.1142/S0217751X13501558
OAI identifier: oai:arXiv.org:1304.4430

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