Lectures on Yangian Symmetry

Understand

In these introductory lectures we discuss the topic of Yangian symmetry from various perspectives.

• Forming the classical counterpart of the Yangian and an extension of ordinary Noether symmetries, first the concept of nonlocal charges in classical, two-dimensional field theory is reviewed.
• We then define the Yangian algebra following Drinfeld's original motivation to construct solutions to the quantum Yang-Baxter equation.
• Different realizations of the Yangian and its mathematical role as a Hopf algebra and quantum group are discussed.