The Lie-Poisson structure of integrable classical non-linear sigma models
نویسندگان
چکیده
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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Non linear sigma models on Riemannian symmetric spaces constitute the most general class of classical non linear sigma models which are known to be integrable. Using the the current algebra structure of these models their canonical structure is analysed and it is shown that their non ultralocal fundamental Poisson bracket relation is governed by a field dependent non antisymmetric r-matrix obey...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1993
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02097062