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 $U_q(mathfrak{b})$.

Bibliographic Details
Main Author:	Juanjuan Sun
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2012-05-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	Borel subalgebra q-character Baxter's Q-operator ODE/IM correspondence
Online Access:	http://dx.doi.org/10.3842/SIGMA.2012.028

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spelling	doaj-f893bcddd4d34238b46ead0bb88e613f2020-11-25T00:14:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-05-018028Polynomial Relations for q-Characters via the ODE/IM CorrespondenceJuanjuan SunLet $U_q(mathfrak{b})$ 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 $U_q(mathfrak{b})$.http://dx.doi.org/10.3842/SIGMA.2012.028Borel subalgebraq-characterBaxter's Q-operatorODE/IM correspondence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Juanjuan Sun
spellingShingle	Juanjuan Sun Polynomial Relations for q-Characters via the ODE/IM Correspondence Symmetry, Integrability and Geometry: Methods and Applications Borel subalgebra q-character Baxter's Q-operator ODE/IM correspondence
author_facet	Juanjuan Sun
author_sort	Juanjuan Sun
title	Polynomial Relations for q-Characters via the ODE/IM Correspondence
title_short	Polynomial Relations for q-Characters via the ODE/IM Correspondence
title_full	Polynomial Relations for q-Characters via the ODE/IM Correspondence
title_fullStr	Polynomial Relations for q-Characters via the ODE/IM Correspondence
title_full_unstemmed	Polynomial Relations for q-Characters via the ODE/IM Correspondence
title_sort	polynomial relations for q-characters via the ode/im correspondence
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2012-05-01
description	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 $U_q(mathfrak{b})$.
topic	Borel subalgebra q-character Baxter's Q-operator ODE/IM correspondence
url	http://dx.doi.org/10.3842/SIGMA.2012.028
work_keys_str_mv	AT juanjuansun polynomialrelationsforqcharactersviatheodeimcorrespondence
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Polynomial Relations for q-Characters via the ODE/IM Correspondence

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