A New Class of Rank Breaking Orbifolds

Details A New Class of Rank Breaking Orbifolds A New Class of Rank Breaking Orbifolds

2007-05-16

arxiv.org/abs/0705.2410v2

Nucl.Phys.B793:192-210,2008

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure. v2: some minor changes to references, typos corrected

Scientific paper

10.1016/j.nuclphysb.2007.10.003

We describe field-theory T^2/Z_n orbifolds that offer new ways of breaking SU(N) to lower rank subgroups. We introduce a novel way of embedding the point group into the gauge group, beyond the usual mapping of torus and root lattices. For this mechanism to work the torus Wilson lines must carry nontrivial 't Hooft flux. The rank lowering mechanism proceeds by inner automorphisms but is not related to continous Wilson lines and does not give rise to any associated moduli. We give a complete classification of all possible SU(N) breaking patterns. We also show that the case of general gauge group can already be understood entirely in terms of the SU(N) case and the knowledge of standard orbifold constructions with vanishing 't Hooft flux.

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