Three-Algebra BFSS Matrix Theory

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.

17 pages

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Cited by in corpus (6)

• Covariantized Matrix theory for D-particles
• 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