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SIGMA 8 (2012), 028, 34 pages arXiv:1201.1614
https://doi.org/10.3842/SIGMA.2012.028
Polynomial Relations for q-Characters via the ODE/IM Correspondence
Juanjuan Sun
Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan
Received January 08, 2012, in final form May 10, 2012; Published online May 15, 2012
Abstract
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 $U_q(\mathfrak{b})$.
Key words:
Borel subalgebra; $q$-character; Baxter's $Q$-operator; ODE/IM correspondence.
pdf (615 kb)
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