Non-Factorisable Z2 times Z2 Heterotic Orbifold Models and Yukawa Couplings

Details Non-Factorisable Z2 times Z2 Heterotic Orbifold Models and Yukawa Couplings Non-Factorisable Z2 times Z2 Heterotic Orbifold Models and Yukawa Couplings

2006-12-06

arxiv.org/abs/hep-th/0612044v2

JHEP 0703:011,2007

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, references added

Scientific paper

10.1088/1126-6708/2007/03/011

We classify compactification lattices for supersymmetric Z2 times Z2 orbifolds. These lattices include factorisable as well as non-factorisable six-tori. Different models lead to different numbers of fixed points/tori. A lower bound on the number of fixed tori per twisted sector is given by four, whereas an upper bound consists of 16 fixed tori per twisted sector. Thus, these models have a variety of generation numbers. For example, in the standard embedding, the smallest number of net generations among these classes of models is equal to six, while the largest number is 48. Conditions for allowed Wilson lines and Yukawa couplings are derived.

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