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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 19, 2013 15:40–17:30, Moscow, Independent University of Moscow
 


Quantum symmetry and XXZ model

T. Miwa
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T. Miwa


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Abstract: I discuss the symmetry approach to the XXZ quantum spin chain, an exactly solvable model in quantum statistical mechanics in one-dimension. The model has the quantum affine $sl(2)$ symmetry, and the correlation function satisfies a system of linear $q$-difference equations called the $q$-deformed Knizhnik–Zamolodchikov equation.
The talk is for non-specialsts, and covers some basic facts about solvable lattice models and the quantum affine $sl(2)$ algebra and its representation theory.

Language: English
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