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Title:
The spin-one XXZ chain and symmetry classes of alternating sign matrices
Speaker:
Abstract:
In this talk, I discuss some recent progress on the ground states of the integrable spin-one XXZ chain with diagonal and anti-diagonal twists. Several components and scalar products of the ground state vectors are related to polynomials which appear in problems of enumeration of alternating sign matrices with symmetries. I show how these relations can be proved by means of the algebraic Bethe ansatz and the quantum separation of variables method. Furthermore, I present a generalisation to models with arbitrary (integer) spin. This talk is based on joint work with Alexi Morin-Duchesne.
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