MSSM-like models on Z(8) toroidal orbifolds

Understand

We extend the promising heterotic string searches for MSSM-like models to Z_8 orbifolds.

• There exist five inequivalent Z_8 toroidal orbifolds distinguished by two types of twists that act on five different torus lattices; one of which cannot be represented as a Lie-algebra root lattice.
• Contrary to previous investigations, we study the consequences of the different underlying orbifold torus lattices.
• Therefore, rather than focussing on one particular geometry, we perform systematic model searches on these five Z_8 orbifolds simultaneously, taking all possible inequivalent SU(5) and SO(10) gauge shifts as our starting point.