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Title:
New U_q sl(2)-invariant boundary conditions for the XXZ spin chain
Speaker:
Abstract:
I am going to talk about new XXZ integrable models based on products with Verma modules for U_q sl(2) and the corresponding Schur-Weyl duality. The relevant K-matrices are constructed via U_q sl(2)-intertwining operators and one can use the standard Bethe ansatz techniques to solve the model. On the algebraic side, the centraliser of U_q sl(2) is given by representations of the universal two-boundary Temperley-Lieb algebra. Using representation theoretic results we relate these spin-chains to the non-diagonal XXZ models where the standard Bethe ansatz can not be applied. This is a joint work with D. Chernyak and H. Saleur.
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