• Corpus ID: 2430602

The exceptional Jordan algebra and the matrix string

  title={The exceptional Jordan algebra and the matrix string},
  author={Lee Smolin},
  journal={arXiv: High Energy Physics - Theory},
  • L. Smolin
  • Published 5 April 2001
  • Physics
  • arXiv: High Energy Physics - Theory
A new matrix model is described, based on the exceptional Jordan algebra. The action is cubic, as in matrix Chern-Simons theory. We describe a compactification that, we argue, reproduces, at the one loop level, an octonionic compactification of the matrix string theory in which SO(8) is broken to G2. There are 27 matrix degrees of freedom, which under Spin(8) transform as the vector, spinor and conjugate spinor, plus three singlets, which represent the two longitudinal coordinates plus an… 

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