1991/10/09 by Nigel J. Burroughs
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #math.QA
paper · pdf · doi:10.1016/0550-3213(92)90600-g
published as Nucl.Phys. B379 (1992) 340-376 · 37 pages
arxiv created 1991/10/09 · openalex publication_date 1992/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we develop two coadjoint orbit constructions for the phase spaces of the generalised Sl(2) and Sl(3) KdV hierachies. This involves the construction of two group actions in terms of Yang Baxter operators, and an Hamiltonian reduction of the coadjoint orbits. The Poisson brackets are reproduced by the Kirillov construction. From this construction we obtain a `natural' gauge fixing proceedure for the generalised hierarchies.