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Classical 2d Integrable Systems and Gauge Theories

M. A. Olshanetsky

Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre «Kurchatov Institute»



Аннотация: We compare constructions of 2d integrable models through two gauge field theories. The first one is the 4d Chern-Simons (4d-CS) theory proposed by Costello and Yamazaki. The second one is the Affine Higgs bundles (AHB). It is 2d generalization of the Hitchin integrable systems. We consider in more detail the latter construction and illustrate it by considering the Landau-Lifshitz model.

Язык доклада: английский


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