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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 24, 2018 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)


Anisotropic extensions of quantum long-range spin chains

A. V. Zotov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We suggest two receipts for constructing anisotropic extensions of the Haldane-Shastry-Inozemtsev quantum spin chains. The first one deals with R-matrix valued Lax pairs for the classical Calogero-Moser models. The second method uses the Hitchin type systems on SL(NM)-bundles over elliptic curve. The corresponding dynamical systems have form of interacting integrable tops.


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