alexa On ZN-Invariant Subgroups of Semi-Simple Lie Groups

Research & Reviews: Journal of Statistics and Mathematical Sciences
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Research Article

On ZN-Invariant Subgroups of Semi-Simple Lie Groups

Ahsan MK1 and Hubsch T2*

1Department of Mathematical Sciences, University of Texas at Dallas, Richardson TX 75080, USA

2Department of Physics and Astronomy, Howard University, Washington, DC 20059, USA

Corresponding Author:
Hubsch T
Department of Physics and Astronomy, Howard University,USA
Tel: (202) 806-6267
E-mail: [email protected]

Received date: 04/09/2015 Accepted date: 09/11/2015 Published date: 25/11/2015

 

Abstract

We employ Mathematica to find ZN-invariant subgroups of E8 for application in M-theory. These ZN-invariant subgroups are phenomenologically important and in some cases they resemble the gauge groups of our real world. We present a specific example of ZN-invariant subgroups of E8, which turn up in orbifold compactification of M-theory. However, the procedure can be applied for any ZN group that acts by shifts (translations) in the root lattice of semisimple Lie groups with An, Bn, Cn, Dn, E6, E7 and E8 factors.

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