Event time:
Thursday, November 30, 2006 - 11:30am to Wednesday, November 29, 2006 - 7:00pm
Location:
214 LOM
Speaker:
Anton Zeitlin
Speaker affiliation:
Yale University
Event description:
We use the relation between Drinfeld-Sokolov Korteweg-de Vries (KdV)
hierarchies and their super-extensions
and conformal field theory (CFT) in the quantization procedure.
The quantization of such models gives integrable structures for CFT,
providing the possibility to study integrable perturbations.
It appears that the quantization can be performed successfully in the case of models based on both (twisted) affine algebras and their super-extensions. In this talk, basic ideas of the quantization procedure
are illustrated by two important examples: KdV hierarchies based on affine sl(2) algebra and affine osp(2|1) superalgebra.