Abstract
We demonstrate how to find modular discrete symmetry groups for ZN orbifolds. The Z7 orbifold is treated in detail as a nontrivial example of a (2, 2) orbifold model. We give the generators of the modular group for this case which, surprisingly, does not contain SL (2; Z)3 as had been speculated. The treatment models with discrete Wilson lines are also discussed. We consider examples which demonstrate that discrete Wilson lines affect the modular group in a nontrivial manner. In particular, we show that it is possible for a Wilson line to break SL (2, Z).
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