Speaker
Description
The goal of the work is to describe a spin chain such that, when passing to the scaling
limit, it gives an integrable CFT with Zr symmetry. Then it will be possible to apply to it
the methods of both the BLZ approach and the approach of A. Litvinov and I. Vilkovisky.
To do this, you first need to be able to describe relatively simple models of spin chains
with sl(n) symmetry, that is, such that each lattice node with a period r is assigned its
own weight. In this research project for r = 1, 2, 3 the ground and low-energy excited
states are described, as well as the spectrum of the Hamiltonian model is constructed
and the eigenvalues of the reflection operator are found. For numerical diagonalization of
the Hamiltonian we will use the explicit construction of a matrix on a lattice, as well as
reducing it to canonical form in terms of σ matrices. To determine the states of the model
using the BLZ method, it is necessary to find the roots of the Bethe ansatz
