Dressing Symmetries
高能物理 - 理论
2008-11-26 v1
摘要
We study Lie-Poisson actions on symplectic manifolds. We show that they are generated by non-Abelian Hamiltonians. We apply this result to the group of dressing transformations in soliton theories; we find that the non-Abelian Hamiltonian is just the monodromy matrix. This provides a new proof of their Lie-Poisson property. We show that the dressing transformations are the classical precursors of the non-local and quantum group symmetries of these theories. We treat in detail the examples of the Toda field theories and the Heisenberg model.
引用
@article{arxiv.hep-th/9111036,
title = {Dressing Symmetries},
author = {O. Babelon and D. Bernard},
journal= {arXiv preprint arXiv:hep-th/9111036},
year = {2008}
}
备注
(29 pages)