Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups

Details Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups

2007-03-18

arxiv.org/abs/math/0703525v2

Mathematics

Symplectic Geometry

12 pages, minor corrections

Scientific paper

10.1016/j.geomphys.2008.02.003

We study the symplectic geometry of the moduli spaces of polygons in the
Minkowski 3-space. These spaces naturally carry completely integrable systems
with periodic flows. We extend the Gelfand-Tsetlin method to pseudo-unitary
groups and show that the action variables are given by the Minkowsky lengths of
non-intersecting diagonals.

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