CO-ADJOINT ORBITS OF THE GENERALIZED SL(2), SL(3) KDV HIERARCHIES

被引：7
|
作者：
BURROUGHS, NJ
机构：
[1] Institute For Advanced Study, Princeton, NJ 08540, Olden Lane
来源：
NUCLEAR PHYSICS B | 1992年 / 379卷 / 1-2期
关键词：
D O I：
10.1016/0550-3213(92)90600-G
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
In this paper we develop two co-adjoint orbit constructions for the phase spaces of the generalised Sl(2) and Sl(3) KdV hierarchies. This involves the construction of two group actions in terms of Yang-Baxter operators, and a hamiltonian reduction of the co-adjoint orbits. The Poisson brackets are reproduced by the Kirillov construction, From this construction we obtain a "natural" gauge fixing proceedure for the generalised hierarchies.
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页码：340 / 376
页数：37
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