Integrable Systems on Flag Manifold and Coherent State Path Integral
High Energy Physics - Theory
2010-11-01 v2
Abstract
We construct integrable models on flag manifold by using the symplectic structure explicitly given in the Bruhat coordinatization of flag manifold. They are non-commutative integrable and some of the conserved quantities are given by the Casimir invariants. We quantize the systems using the coherent state path integral technique and find the exact expression for the propagator for some special cases.
Keywords
Cite
@article{arxiv.hep-th/9504001,
title = {Integrable Systems on Flag Manifold and Coherent State Path Integral},
author = {Myung-Ho Kim and Phillial Oh},
journal= {arXiv preprint arXiv:hep-th/9504001},
year = {2010}
}
Comments
Revtex, 12 pages, Misprints of the earlier version have been corrected