Polynomial relations for $q$-characters via the ODE/IM correspondence

Juanjuan Sun

Symmetry, integrability and geometry: methods and applications, Tome 8 (2012)

Résumé

Let $U_q(\mathfrak{b})$ be the Borel subalgebra of a quantum affine algebra of type $X^{(1)}_n$ ($X=A,B,C,D$). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the $q$-characters of certain representations of $U_q(\mathfrak{b})$.

Détail

Keywords: $q$-character, Baxter's $Q$-operator, ODE/IM correspondence.
Mots-clés : Borel subalgebra

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