Rubtsov V. Painlevé monodromy varieties and quantization, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Vladimir Rubtsov

Title: Painlevé monodromy varieties and quantization

Abstract:
We discuss quantum algebras related to affine cubics arising as monodromy data varieties for confluented Painlevé equations.

We describe some examples of non-commutative cubics unifying the "quantum Painlevé cubics" and cubic superpotentials for 3D (generalized) Sklyanin algebras. Such general potentials appear in a description of moduli spaces of vacuum states in N=4 supersymmetric Yang-Mills field theory.

Slides: Rubtsov V. Painlevé monodromy varieties and quantization (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf