Noncommutativity vs gauge symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, tex, version accepted for publication

Scientific paper

In many aspects the most complicated noncommutative spaces correspond to
foliated manifolds with nonvanishing Godbillon-Vey class. We argue that gauge
invariance probably prevents a foliated manifold from creating resilient leaves
and thus resulting in having nonvanishing GV-class. So these spaces which are
of the highest noncommutativity are not likely to appear in gauge theories.

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