Minimal Immersions and the Spectrum of Supermembranes
| dc.creator | Bellorin, J. | |
| dc.creator | Restuccia, A | |
| dc.date | 2003-12-22 | |
| dc.date.accessioned | 2026-07-07T04:16:24Z | |
| dc.date.available | 2026-07-07T04:16:24Z | |
| dc.description | We describe the minimal configurations of the compact D=11 Supermembrane and D-branes when the spatial part of the world-volume is a Kähler manifold. The minima of the corresponding hamiltonians arise at immersions into the target space minimizing the Kähler volume. Minimal immersions of particular Kähler 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 Kähler 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. | |
| dc.identifier | https://arxiv.org/abs/hep-th/0312265 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0312265 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52339 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Minimal Immersions and the Spectrum of Supermembranes | |
| dc.type | text |