Polynomial Relations for q-Characters via the ODE/IM Correspondence

preprint2012arXivOpen access

Abstract

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

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