Dressing Symmetries

Details Dressing Symmetries Dressing Symmetries

1991-11-20

arxiv.org/abs/hep-th/9111036v1

Commun.Math.Phys.149:279-306,1992

Physics

High Energy Physics

High Energy Physics - Theory

(29 pages)

Scientific paper

10.1007/BF02097626

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.

Affiliated with

Also associated with

No associations

Rating

Dressing Symmetries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dressing Symmetries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dressing Symmetries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198251