Commuting Quantities and Exceptional W Algebras
/ Authors
/ Abstract
Sets of commuting charges constructed from the current of a U(1) Kac-Moody algebra are found. There exists a set Sn of such charges for each positive integer n>1; the corresponding value of the central charge in the Feigin-Fuchs realization of the stress tensor is c=13−6n−6/n. The charges in each series can be written in terms of the generators of an exceptional W algebra.
Journal: International Journal of Modern Physics A