Heterotic orbifold models on Lie lattice with discrete torsion

Details Heterotic orbifold models on Lie lattice with discrete torsion Heterotic orbifold models on Lie lattice with discrete torsion

2007-02-04

arxiv.org/abs/hep-th/0702025v2

JHEP 0703:103,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2007/03/103

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.

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