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We construct the 11D supermembrane with topological central charges inducedthrough an irreducible winding on a G2 manifold realized from the T7/Z2xZ2xZ2orbifold construction. The hamiltonian H of the theory on a T7 target has adiscrete spectrum. Within the discrete symmetries of H associated to largediffeomorphisms, the Z2xZ2xZ2 group of automorphisms of the quaternionicsubspaces preserving the octonionic structure is relevant. By performing thecorresponding identification on the target space, the supermembrane may beformulated on a G2 manifold, preserving the discretness of its supersymmetricspectrum. The corresponding 4D low energy effective field theory has N=1supersymmetry.

The Supermembrane with Central Charges on a G2 Manifold