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arXiv · 1502.07194

Quantum toroidal gl(1) and Bethe ansatz

B. Feigin·M. Jimbo·T. Miwa·E. Mukhin
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Abstract

We establish the method of Bethe ansatz for the XXZ type model obtained from the R-matrix associated to quantum toroidal gl(1). We do that by using shuffle realizations of the modules and by showing that the Hamiltonian of the model is obtained from a simple multiplication operator by taking an appropriate quotient. We expect this approach to be applicable to a wide variety of models.

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B. Feigin, M. Jimbo, T. Miwa, E. Mukhin. 2015-02-25. Quantum toroidal gl(1) and Bethe ansatz. https://arxiv.org/abs/1502.07194

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