An Introduction to Yangian Symmetries

Details An Introduction to Yangian Symmetries An Introduction to Yangian Symmetries

1992-11-30

arxiv.org/abs/hep-th/9211133v2

Int.J.Mod.Phys.B7:3517-3530,1993

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, SPTh-92-134, (The Tex has been corrected)

Scientific paper

10.1142/S0217979293003371

We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the semi-classical Yangians; An alternative presentation of the semi-classical Yangians; Digression on Poisson-Lie groups. 2 - The quantum Heisenberg chain: Non-Abelian symmetries and the quantum Yangians; The transfer matrix and an alternative presentation of the Yangians; Digression on the double Yangians. Talk given at the "Integrable Quantum Field Theories" conference held at Come, Italy , September 13-19, 1992.

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