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Title:
Planar directed networks and quantum loop equations
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Abstract:
I show how, under mild restrictions, we can construct solutions to quantum loop equations out of a directed planar network. All definitions will be given. Variables of faces of the network then ensure a log-canonical (Darboux) coordinate parameterization of the corresponding finite-dimensional Poisson leaf of the quantum loop algebra. Many open questions will be discussed.Based on arXiv:2012.10982 and on my joint paper with Misha Shapiro arXiv:2003.07499
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