Heidelberg 1999 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
MP: Theoretische und Mathematische Grundlagen der Physik
MP 9: Nichtkommutative Geometrie
MP 9.2: Fachvortrag
Freitag, 19. März 1999, 15:35–15:55, MA1
Noncommutative principal chiral models — •Folkert Müller-Hoissen1 and Aristophanes Dimakis2 — 1Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, D-37073 Göttingen — 2Mathematics Department, GR-83200 Karlovasi, Samos, Greece
An analogue of the Hodge operator is introduced in a framework
of noncommutative geometry. The complete integrability of
classical 2-dimensional principal chiral models is then extended
to a class of generalized principal chiral models on associative
and noncommutative algebras. An example of special interest is
the algebra of smooth functions (in two dimensions) with the
Moyal product.
Ref.: math-ph/9809023