Quantum toroidal gl1 and Bethe ansatz

B. Feigin; M. Jimbo; T. Miwa; E. Mukhin

doi:10.1088/1751-8113/48/24/244001

Quantum toroidal gl₁ and Bethe ansatz

B. Feigin
, M. Jimbo^*
, T. Miwa
, E. Mukhin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

We establish the method of Bethe ansatz for the XXZ type model obtained from the R matrix associated to quantum toroidal gl₁. We do this 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.

Original language	English
Article number	244001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	24
DOIs	https://doi.org/10.1088/1751-8113/48/24/244001
State	Published - 19 Jun 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 IOP Publishing Ltd.

Keywords

Bethe ansatz
quantum toroidal algebra
shuffle algebra

Access to Document

10.1088/1751-8113/48/24/244001

Cite this

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