$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents
High Energy Physics - Theory
2007-05-23 v1
Abstract
It is shown that KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of on the phase space of centrally extended Kac Moody currents. Construction of Lax pair is shown, confirming Drinfeld Sokolov type Hamiltonian reduction. This suggests an example of a moduli space with symplectic structure corresponding to extended conformal symmetries.
Keywords
Cite
@article{arxiv.hep-th/9306126,
title = {$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents},
author = {Sasanka Ghosh and Samir K. Paul},
journal= {arXiv preprint arXiv:hep-th/9306126},
year = {2007}
}
Comments
plain tex, 15 pages, IMSC-93/11, SBNC-06/93