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arXiv · 1611.00628

Baxter operators and asymptotic representations

Giovanni Felder·Huafeng Zhang
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Abstract

We introduce a category $\mathcal O$ of representations of the elliptic quantum group associated with $\mathfrak{sl}_2$ with well-behaved $q$-character theory. We derive separation of variables relations for asymptotic representations in the Grothendieck ring of this category. Baxter $Q$-operators are obtained as transfer matrices for asymptotic representations and obey $TQ$-relations as a consequence of the relations in $K_0(\mathcal O)$.

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BibTeXRIS

Giovanni Felder, Huafeng Zhang. 2016-11-02. Baxter operators and asymptotic representations. https://doi.org/10.1007/s00029-017-0320-z

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