English

Three-Algebra BFSS Matrix Theory

High Energy Physics - Theory 2015-06-15 v1

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.

Keywords

Cite

@article{arxiv.1304.4430,
  title  = {Three-Algebra BFSS Matrix Theory},
  author = {Matsuo Sato},
  journal= {arXiv preprint arXiv:1304.4430},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-22T00:00:32.982Z