On ZN-Invariant Subgroups of Semi-Simple Lie GroupsAhsan MK1 and Hubsch T2*
- 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
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.