SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles

Details SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles

2011-05-16

arxiv.org/abs/1105.3181v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

We give the explicit formulation of the 11D supermembrane as a symplectic torus bundle with non trivial monodromy and non vanishing Euler class. This construction allows a classification of all supermembranes showing explicitly the discrete SL(2,Z) symmetries associated to dualities. It hints as the origin in M-theory of the gauging of the effective theories associated to string theories.

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