%0 Journal Article
%T Polynomial Relations for q-Characters via the ODE/IM Correspondence
%A Juanjuan Sun
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X 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 $U_q(mathfrak{b})$.
%K Borel subalgebra
%K q-character
%K Baxter's Q-operator
%K ODE/IM correspondence
%U http://dx.doi.org/10.3842/SIGMA.2012.028