Heterotic orbifold models on Lie lattice with discrete torsion

Abstract

We provide a new class of Z_N x Z_M heterotic orbifolds on non-factorisable tori, whose boundary conditions are defined by Lie lattices. Generally, point groups of these orbifolds are generated by Weyl reflections and outer automorphisms of the lattices. We classify abelian orbifolds with and without discrete torsion. Then we find that some of these models have smaller Euler numbers than those of models on factorisable tori T^2 x T^2 x T^2. There is a possibility that these orbifolds provide smaller generation numbers of N=1 chiral matter fields than factorisable models.

arXiv comment24 pages, 5 figures; v2: a few errors on tables are corrected, typos corrected, version to appear in JHEP

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Cited by in corpus (8)

• Mirage Torsion
• Towards Low Energy Physics from the Heterotic String
• Revisiting Coupling Selection Rules in Heterotic Orbifold Models
• Discrete R-symmetry anomalies in heterotic orbifold models
• Oddness from Rigidness
• Grand Unification in the Heterotic Brane World
• Orientifold's Landscape: Non-Factorisable Six-Tori
• Type IIA orientifolds and orbifolds on non-factorizable tori