Construction of KP Hierarchies in Terms of Finite Number of Fields and their Abelianization
arXiv:hep-th/9306035 · doi:10.1016/0370-2693(93)91319-I
Abstract
The -boson representations of KP hierarchy are constructed in terms of mutually independent two-boson KP representations for arbitrary number . Our construction establishes the multi-boson representations of KP hierarchy as consistent Poisson reductions of standard KP hierarchy within the -matrix scheme. As a byproduct we obtain a complete description of any finitely-many-field formulation of KP hierarchy in terms of Darboux coordinates with respect to the first Hamiltonian structure. This results in a series of representations of $\Win1\,$ algebra made out of arbitrary even number of boson fields.
arXiv comment12 p., LaTeX, minor typos corrected, BGU-93/2/June-PH
References in corpus (4)
Cited by in corpus (15)
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