# The exceptional Jordan algebra and the matrix string

@article{Smolin2001TheEJ, title={The exceptional Jordan algebra and the matrix string}, author={Lee Smolin}, journal={arXiv: High Energy Physics - Theory}, year={2001} }

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…

## 57 Citations

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We consider a new matrix model based on the simply connected compact exceptional Lie group E6. A matrix Chern-Simons theory is directly derived from the invariant on E6 .I t is asserted that an…

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