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P. de Medeiros, J. Figueroa-O’Farrill, E. Me’ndez-Escobar and P. Ritter, “On the Lie-Algebraic Origin of Metric 3-Algebras,” Communications in Mathematical Physics, Vol. 290, No. 3, 2009, pp. 871-902. doi:10.1007/s00220-009-0760-1

has been cited by the following article:

• TITLE: On Supersymmetry of the Covariant 3-Algebra Model for M-Theory

  AUTHORS: Matsuo Sato

  KEYWORDS: M-Theory; 3-Algebra; Matrix Model; String Theory

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.11, November 28, 2012

  ABSTRACT: We examine a natural supersymmetric extension of the bosonic covariant 3-algebra model for M-theory proposed in [1]. It possesses manifest SO(1,10) symmetry and is constructed based on the Lorentzian Lie 3-algebra associated with the U(N) Lie algebra. There is no ghost related to the Lorentzian signature in this model. It is invariant under 64 supersymmetry transformations although the supersymmetry algebra does not close. From the model, we derive the BFSS matrix theory and the IIB matrix model in a large N limit by taking appropriate vacua.