Modular Groups for Twisted Narain Models

Details Modular Groups for Twisted Narain Models Modular Groups for Twisted Narain Models

1992-08-13

arxiv.org/abs/hep-th/9208038v1

Int.J.Mod.Phys. A9 (1994) 4407-4430

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

We demonstrate how to find modular discrete symmetry groups for $Z_N$ orbifolds. The $Z_7$ orbifold is treated in detail as a non-trivial example of a $(2,2)$ orbifold model. We give the generators of the modular group for this case which, surprisingly, does not contain $\sltz^3$ as had been speculated. The treatment models with discrete Wilson lines is also discussed. We consider examples which demonstrate that discrete Wilson lines affect the modular group in a non-trivial manner. In particular, we show that it is possible for a Wilson line to break $SL(2,{\bf Z})$.

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