Presenter: Eric Ragoucy, LAPTH

We apply the nested algebraic Bethe ansatz to integrable models with gl(3) symmetry. We obtain explicit representations for the Bethe vectors and their scalar products. In some particular cases, we find determinant formulas for the scalar products. Starting from these formulas and using the zero modes method we obtain compact determinant representations for the form factors of the monodromy matrix entries. The methods used to obtain these expressions can be sometimes generalized to other (super)algebras. We review what has been (or can be) done, depending on the algebra under consideration.

About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics. 

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

  • computer 
  • data projector
  • chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.


Mansergh Shaw Building (45)