Compactified D=11 supermembranes and symplectic noncommutative gauge theories
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In this paper, a double compactified D=11 supermembrane with nontrivial wrapping was formulated as a symplectic non-commutative gauge theory on the world volume.Abstract:
It is shown that a double compactified D=11 supermembrane with nontrivial wrapping may be formulated as a symplectic noncommutative gauge theory on the world volume The symplectic noncommutative structure is intrinsically obtained from the symplectic two-form on the world volume defined by the minimal configuration of its Hamiltonian The gauge transformations on the symplectic fibration are generated by the area preserving diffeomorphisms on the world volume Geometrically, this gauge theory corresponds to a symplectic fibration over a compact Riemann surface with a symplectic connectionread more
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Journal ArticleDOI
Discreteness of the spectrum of the compactified D=11 supermembrane with nontrivial winding
TL;DR: In this article, the Hamiltonian of the compactified D=11 supermembrane with nontrivial central charge was analyzed in terms of the matrix model constructed in [Phys. Rev. D 66 (2002) 045023, hep-th/0103261 ].
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Spectrum of a noncommutative formulation of the D=11 supermembrane with winding
TL;DR: In this article, a regularized model of the double compactified D = 11 supermembrane with nontrivial winding in terms of SU(N) valued maps is obtained.
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On the spectrum of a matrix model for the D = 11 supermembrane compactified on a torus with non-trivial winding
TL;DR: In this article, the spectrum of the Hamiltonian of the double compactified D = 11 supermembrane with non-trivial central charge was analyzed and an upper bound for the asymptotic distribution of the eigenvalues was derived.
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The Supermembrane with Central Charges on a G2 Manifold
TL;DR: In this paper, an 11D supermembrane with topological central charges induced through an irreducible winding on a G2 manifold realized from the T7/Z32 orbifold construction was constructed.
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D=11 supermembrane wrapped on calibrated submanifolds
Jorge Bellorín,Alvaro Restuccia +1 more
TL;DR: In this article, the Hamiltonian of the D = 11 supermembrane with topological conditions on configuration space is constructed for a compact sector of the target space being a 2g-dimensional flat torus and the base manifold of the super-brane a genus g compact Riemann surface.