Abstrato

On ZN-Invariant Subgroups of Semi-Simple Lie Groups

Ahsan MK* and Hubsch T

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