On ZN-Invariant Subgroups of Semi-Simple Lie Groups

Research & Reviews: Journal of Statistics and Mathematical Sciences

article

Ahsan MK¹  Hubsch T² 

[1] Department of Mathematical Sciences, University of Texas at Dallas;Department of Physics and Astronomy, Howard University

关键词: Orbifold compactification;    String-theory;    M-theory;   

来源: Research & Reviews

【 摘 要 】

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.

【 授权许可】

Unknown