Integrable Systems on Flag Manifold and Coherent State Path Integral

Details Integrable Systems on Flag Manifold and Coherent State Path Integral Integrable Systems on Flag Manifold and Coherent State Path Integral

1995-04-03

arxiv.org/abs/hep-th/9504001v2

Mod.Phys.Lett.A10:1847-1856,1995

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 12 pages, Misprints of the earlier version have been corrected

Scientific paper

10.1142/S021773239500199X

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.

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