Algebraic Bethe ansatz for orthogonal and symplectic open spin chains

Vidas Regelskis (University of Hertfordshire and Vilnius University)

Tuesday 27th November, 2018 16:00-17:00 Maths 311B

Abstract

The algebraic Bethe ansatz provides a method for constructing eigenvectors and their eigenvalues for integrable transfer matrices, facilitating the solution of a variety of systems including lattice models and spin chains. In this seminar, I will study the spectral problem of an open spin chain with orthogonal and symplectic boundary conditions that are called 'soliton non-preserving boundary conditions'. I will introduce the underlying twisted Yangian algebra of the spin chain, and explain how algebraic Bethe ansatz proceeds in this case.

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