Quantisation of bending flows
Gregorio Falqui, Fabio Musso
Abstract
We briefly review the Kapovich-Millson notion of Bending flows as an integrable system on the space of polygons in R3, its connection with a specific Gaudin XXX system, as well as the generalisation to su(r), r>2. Then we consider the quantisation problem of the set of Hamiltonians pertaining to the problem, quite naturally called Bending Hamiltonians, and prove that their commutativity is preserved at the quantum level.
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