Институт теоретической физики им. Л.Д. Ландау РАН
L.D. Landau Institute for Theoretical Physics RAS
Landau Days 2020
June, 22-25, 2020 Chernogolovka, Russia

Liouville reflection operator,affine Yangian and Bethe anzatz
Date/Time: 11:00 24-Jun-2020
Abstract:
We study integrable structure of conformal field theory by means of Liouville reflection operator/Maulik Okounkov R-matrix. We discuss a relation between $RLL$ and current realization of the affine Yangian of gl(1). We construct a family of commuting transfer matrices related to the Intermediate Long Wave hierarchy  and derive Bethe anzatz equations  discovered by Nekrasov and Okounkov and independently by one of the authors. Joint work with Ilya Vilkoviskiy.

Video

Authors
Litvinov Alexey V. (Presenter)
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