Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-02-12
Phys.Lett. B282 (1992) 357-364
Physics
High Energy Physics
High Energy Physics - Theory
(14 pages)
Scientific paper
10.1016/0370-2693(92)90652-K
We define and compute explicitly the classical limit of the realizations of $W_n$ appearing as hamiltonian structures of generalized KdV hierarchies. The classical limit is obtained by taking the commutative limit of the ring of pseudodifferential operators. These algebras---denoted $w_n$---have free field realizations in which the generators are given by the elementary symmetric polynomials in the free fields. We compute the algebras explicitly and we show that they are all reductions of a new algebra $w_{\rm KP}$, which is proposed as the universal classical $W$-algebra for the $w_n$ series. As a deformation of this algebra we also obtain $w_{1+\infty}$, the classical limit of $W_{1+\infty}$.
Figueroa-O'Farrill Jose M.
Ramos Eduardo
No associations
LandOfFree
The Classical Limit of W-Algebras 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 The Classical Limit of W-Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Classical Limit of W-Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-580277