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arxiv: 1105.3181 · v1 · pith:SCNVZJMOnew · submitted 2011-05-16 · ✦ hep-th · math-ph· math.MP

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

classification ✦ hep-th math-phmath.MP
keywords associatedsupermembranessymmetriessymplectictheoriestorusallowsbundle
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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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