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

A. Restuccia; I. Mart\'in; J. M. Pe\~na; M. P. Garc\'ia del Moral

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

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arxiv 1105.3181 v1 pith:SCNVZJMO submitted 2011-05-16 hep-th math-phmath.MP

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

M. P. Garc\'ia del Moral , I. Mart\'in , J. M. Pe\~na , A. Restuccia This is my paper

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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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On the large N convergence of matrix models
hep-th 2026-06 unverdicted novelty 5.0

In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.