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Prog. Theor. Phys. Vol. 108 No. 4 (2002) pp. 755-782

[ Full Text PDF : FREE ACCESS (251K) ]

E6 Matrix Model

Yuhi Ohwashi*

Theory Division, High Energy Accelerator Research Organization (KEK),
Tsukuba 305-0801, Japan

(Received May 6, 2002)

Abstract:

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 asserted that an argument similar to that of Smolin, with which an effective action of the matrix string type can be derived, is also valid 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 compactification of directions. It is of great interest that the properties of the product space \mathfrakJc ×G, in which the degrees of freedom of our model live, are very similar to those of the physical Hilbert space.


URL : http://ptp.ipap.jp/link?PTP/108/755/
DOI : 10.1143/PTP.108.755


*E-mail: yuhi@post.kek.jp, y.ohwashi@k8.dion.ne.jp

[ Full Text PDF : FREE ACCESS (251K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 625-659 :
    Sp(4,H) / Z2 Pair Universe in E6 Matrix Models
    Yuhi Ohwashi

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