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Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups

Philip Foth
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Abstract

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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Philip Foth. 2007-04-23. Polygons in Minkowski space and Gelfand-Tsetlin for pseudounitary groups. https://doi.org/10.1016/j.geomphys.2008.02.003

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