Algebraic Bethe ansatz for open spin chains with twisted Yangian symmetry

Allan Gerrard, University of York

The algebraic Bethe ansatz provides a method for constructing eigenvectors for integrable transfer matrices, facilitating the solution of a variety of systems including lattice models and spin chains.

In this seminar, I study the spectral problem for the open spin chain with 'soliton non-preserving boundary conditions', a boundary type which interchanges particles and anti-particles. I will describe the underlying twisted Yangian algebra of the spin chain, and explain how the algebraic Bethe ansatz proceeds in this case.