Rubtsov V. Painlevé monodromy varieties and quantization, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract): Difference between revisions
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| abstract = We discuss quantum algebras related to affine cubics arising as monodromy data varieties for confluented Painlevé equations. | | 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 | 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 = | | slides = [[Media:Rubtsov V. Painlevé monodromy varieties and quantization (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf|Rubtsov V. Painlevé monodromy varieties and quantization (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-89-81 | | 79YY-MM-DD = 7984-89-81 | ||
}} | }} | ||
Latest revision as of 16:52, 23 November 2015
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.