Polynomial Relations for q-Characters via the ODE/IM Correspondence
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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-05-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.028 |
| Summary: | 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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| ISSN: | 1815-0659 |