E6 Matrix Model

Details E6 Matrix Model E6 Matrix Model

2001-10-11

arxiv.org/abs/hep-th/0110106v3

Prog.Theor.Phys. 108 (2002) 755-782

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure, LaTex 2e, v2: corrected a figure, v3: a reference added and minor corrections

Scientific paper

10.1143/PTP.108.755

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. It is stated that the similar argument as Smolin which derives an effective action of the matrix string type can also be held in our model. An important difference is that our model has twice as many degrees of freedom as Smolin's model has. One way to introduce the cosmological term is the compactification on directions. It is of great interest that the properties of the product space $\Vec{\mathfrak{J}^c} \times \Vec{\mathcal{G}}$, in which the degrees of freedom of our model live, are very similar to those of the physical Hilbert space.

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