4 papers
Superintegrability of -matrix models and quantum toroidal algebra recursions
Luca Cassia, Victor Mishnyakov
-deformed matrix models give rise to representations of the deformed Virasoro algebra and more generally of the quantum toroidal algebra. These representatio…
Integrable Feynman Graphs and Yangian Symmetry on the Loom
Vladimir Kazakov, Fedor Levkovich-Maslyuk, Victor Mishnyakov
We present significant evidence that the powerful property of Yangian invariance extends to a new large class of conformally invariant Feynman integrals. Our results apply to plana…
Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials
Victor Mishnyakov
We present new examples of superintegrable matrix/eigenvalue models. These examples arise as a result of the exploration of the relationship between the theory of superintegrabilit…
Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables
Fedor Levkovich-Maslyuk, Victor Mishnyakov
We study the differential equations that follow from Yangian symmetry which was recently observed for a large class of conformal Feynman graphs, originating from integrable `fishne…