Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-10
Nucl.Phys.Proc.Suppl.102:169-175, 2001
Physics
High Energy Physics
High Energy Physics - Theory
Changed content. Invited talk to SSQFT2000, Kharkov; Latex, espcrc2.sty, 7 pages
Scientific paper
10.1016/S0920-5632(01)01553-5
It is shown that the dual of the double compactified D=11 Supermembrane and a suitable compactified D=10 Super 4D-brane with nontrivial wrapping on the target space may be formulated as noncommutative gauge theories. The Poisson bracket over the world-volume is intrinsically defined in terms of the minima of the hamiltonian of the theory, which may be expressed in terms of a non degenerate 2-form. A deformation of the Poisson bracket in terms of the Moyal brackets is then performed. A noncommutative gauge theory in terms of the Moyal star bracket is obtained. It is shown that all these theories may be described in terms of symplectic connections on symplectic fibrations. The world volume being its base manifold and the (sub)group of volume preserving diffeomorphisms generate the symplectomorphisms which preserve the (infinite dimensional) Poisson bracket of the fibration.
Martin Ivar
Ovalle J.
Restuccia Alvaro
No associations
LandOfFree
D-branes, Symplectomorphisms and Noncommutative Gauge Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with D-branes, Symplectomorphisms and Noncommutative Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and D-branes, Symplectomorphisms and Noncommutative Gauge Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637118