School Seminars and Colloquia

An introduction to the nested Bethe Ansatz (Part 1)

Tuesday Seminar

by Michael Wheeler


Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Tue 15th March 2011
Time: 1:00 PM
Location: Room 215, Richard Berry Building, The University of Melbourne

Abstract: The nested Bethe Ansatz is a way of solving spin chains associated to Lie algebras of arbitrary rank. It is an inductive procedure which at each step reduces the rank of the problem by 1, before terminating at the well known rank-2 case.

In these talks I will give an elementary introduction to this method, specializing to the case of the affine Lie algebras A^{(1)}_{n-1}. The goal will be to write down expressions for the eigenvectors and the corresponding nested Bethe equations. I will particularly emphasize how the treatment can be simplified using diagrammatic notations.

For More Information: contact: Mark Sorrell. email: msorrell@unimelb.edu.au