Abstracts

Igor Salom

Algebraic Bethe Ansatz for Gaudin model in SO(3) case

We start with a pedagogical introduction to Gaudin models - a peculiar class of integrable models that exhibit long-range interactions. Then we demonstrate the application of Algebraic Bethe Ansatz (ABA) to the particular case of rational SO(3) Gaudin model. We cover the case of nontrivial boundary conditions, providing the explicit form of Bethe vectors and the corresponding off-shell action of the generating function. We also present several additional results related to this case.