Generalized Drinfel'd-Sokolov hierarchies |
| |
| Authors: | Nigel J Burroughs Mark F de Groot Timothy J Hollowood J Luis Miramontes |
| |
| Institution: | 1. Institute for Advanced Study, Olden Lane, 08540, Princeton, NJ, USA
2. Joseph Henry Laboratories, Department of Physics, Princeton University, 08544, Princeton, NJ, USA
|
| |
| Abstract: | In this paper we examine the bi-Hamiltonian structure of the generalized KdV-hierarchies. We verify that both Hamiltonian structures take the form of Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated system. Classical extended conformal algebras are obtained from the second Poisson bracket. In particular, we construct theW n (l) algebras, first discussed for the casen=3 andl=2 by Polyakov and Bershadsky. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
