Generalized Drinfeld-Sokolov hierarchies 2: The Hamiltonian structures
Jun, 1991
41 pages
Published in:
- Commun.Math.Phys. 153 (1993) 187-215
e-Print:
- hep-th/9109014 [hep-th]
DOI:
Report number:
- IASSNS-HEP-91-42,
- PUPT-1263
View in:
Citations per year
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 the algebras, first discussed for the case and by A. Polyakov and M. Bershadsky.Note:
- 41 pages
- Korteweg-de Vries equation
- Hamiltonian formalism
- algebra: Kac-Moody
- transformation: gauge
References(0)
Figures(0)
Loading ...