Compactified D=11 Supermembranes and Symplectic Non-Commutative Gauge Theories

Abstract

It is shown that a double compactified D=11 supermembrane with non trivial wrapping may be formulated as a symplectic non-commutative gauge theory on the world volume. The symplectic non commutative structure is intrinsically obtained from the symplectic 2-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 Riemman surface with a symplectic connection.

8 pages, REVTeX

References in corpus (2)

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Cited by in corpus (23)

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• On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
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• D=11 Supermembrane wrapped on calibrated submanifolds
• The heat kernel of the compactified D=11 supermembrane with non-trivial winding
• Spectral properties in supersymmetric matrix models
• SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles
• The Supermembrane with Central Charges on a G2 Manifold
• Geodesic analysis and black hole shadows on a general non--extremal rotating black hole in five--dimensional gauged supergravity
• M2-branes on a constant flux background
• The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• The Massive Supermembrane on a Knot
• T-duality Invariance of the Supermembrane
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• Fluxes, Twisted tori, Monodromy and $U(1)$ Supermembranes
• Spinning solutions for the bosonic M2-brane with $C_{\pm }$ fluxes
• On Non Commutative G2 structure
• On the Geometry of Sculpting-like Gauging Processes
• On the Spectral properties of Multi-branes, M2 and M5 branes
• Non-abelian D=11 Supermembrane
• On global aspects of duality invariant theories: M2-brane vs DFT
• D2-brane with RR and NSNS fluxes and its dual M-theory origin