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

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

2012-01-08

arxiv.org/abs/1201.1614v1

Mathematics

Quantum Algebra

30 pages

Scientific paper

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 $U_q(\mathfrak{b})$.

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