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Factorization of the R-matrix and Baxter’s Q-operator

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Abstract

The general rational solution of the Yang-Baxter equation with the symmetry algebra sℓ(2) can be represented as a product of simpler building blocks called \( \mathcal{R} \)-operators. \( \mathcal{R} \)-operators are constructed explicitly and have simple structure. Using \( \mathcal{R} \)-operators, we construct the two-parametric Baxter’s Q-operator for the generic inhomogeneous XXX-spin chain. In the case of a homogeneous XXX-spin chain, it is possible to reduce the general Q-operator to a much simpler one-parametric Q-operator. Bibliography: 22 titles.

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  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    S. E. Derkachov

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Correspondence to S. E. Derkachov.

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 347, 2007, pp. 144–166.

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Derkachov, S.E. Factorization of the R-matrix and Baxter’s Q-operator. J Math Sci 151, 2880–2893 (2008). https://doi.org/10.1007/s10958-008-9010-x

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