Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-12-22
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
We describe the minimal configurations of the compact D=11 Supermembrane and D-branes when the spatial part of the world-volume is a K\"ahler manifold. The minima of the corresponding hamiltonians arise at immersions into the target space minimizing the K\"ahler volume. Minimal immersions of particular K\"ahler manifolds into a given target space are known to exist. They have associated to them a symplectic matrix of central charges. We reexpress the Hamiltonian of the D=11 Supermembrane with a symplectic matrix of central charges, in the light cone gauge, using the minimal immersions as backgrounds and the $Sp\parent{2g,\mathbb{Z}}$ symmetry of the resulting theory, $g$ being the genus of the K\"ahler manifold. The resulting theory is a symplectic noncommutative Yang-Mills theory coupled with the scalar fields transverse to the Supermembrane. We prove that both theories are exactly equivalent. A similar construction may be performed for the Born-Infeld action. Finally, the noncommutative formulation is used to show that the spectrum of the reguralized Hamiltonian of the above mentioned D=11 Supermembrane is a discrete set of eigenvalues with finite multiplicity.
Bellorin Jorge
Restuccia Alvaro
No associations
LandOfFree
Minimal Immersions and the Spectrum of Supermembranes 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 Minimal Immersions and the Spectrum of Supermembranes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Immersions and the Spectrum of Supermembranes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-618553