On Two-Current Realization of KP Hierarchy
High Energy Physics - Theory
2009-10-22 v1
Abstract
A simple description of the KP hierarchy and its multi-hamiltonian structure is given in terms of two Bose currents. A deformation scheme connecting various W-infinity algebras and relation between two fundamental nonlinear structures are discussed. Properties of Fa\'a di Bruno polynomials are extensively explored in this construction. Applications of our method are given for the Conformal Affine Toda model, WZNW models and discrete KP approach to Toda lattice chain.
Keywords
Cite
@article{arxiv.hep-th/9206096,
title = {On Two-Current Realization of KP Hierarchy},
author = {H. Aratyn and L. A. Ferreira and J. F. Gomes and A. H. Zimerman},
journal= {arXiv preprint arXiv:hep-th/9206096},
year = {2009}
}
Comments
28 pages, IFT-P/020/92-SAO-PAULO, Latex