Character formulas for Kirillov-Reshetikhin modules via folding of supercharacters of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg"> <mml:mrow> <mml:mi mathvariant="fraktur">gl</mml:mi> <mml:mo>(</mml:mo> <mml:mi>M</mml:mi

We derive decomposition formulas for supercharacters of quantum affine ortho-symplectic superalgebras and twisted quantum affine superalgebras into supercharacters of their finite-type quantum sub-superalgebras, by employing Cauchy-type identities for supersymmetric Schur functions. These formulas are obtained via a folding (reduction) procedure applied to the supercharacters of the finite-dimensional general linear Lie superalgebra $\mathfrak{gl}(M|N)$. As a special case, our results provide explicit character formulas for a class of Kirillov--Reshetikhin modules of quantum affine algebras (and their Yangian counterparts), thereby proving a previously proposed conjecture derived from Bethe ansatz analysis (arXiv:2309.16660).

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Publication Details

Journal
Nuclear Physics B
Published
2026-03-14
DOI
https://doi.org/10.1016/j.nuclphysb.2026.117400
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
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article

Character formulas for Kirillov-Reshetikhin modules via folding of supercharacters of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg"> <mml:mrow> <mml:mi mathvariant="fraktur">gl</mml:mi> <mml:mo>(</mml:mo> <mml:mi>M</mml:mi

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Nuclear Physics B
Rings, Modules, and Algebras
article

Character formulas for Kirillov-Reshetikhin modules via folding of supercharacters of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg"> <mml:mrow> <mml:mi mathvariant="fraktur">gl</mml:mi> <mml:mo>(</mml:mo> <mml:mi>M</mml:mi

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Abstract

We derive decomposition formulas for supercharacters of quantum affine ortho-symplectic superalgebras and twisted quantum affine superalgebras into supercharacters of their finite-type quantum sub-superalgebras, by employing Cauchy-type identities for supersymmetric Schur functions. These formulas are obtained via a folding (reduction) procedure applied to the supercharacters of the finite-dimensional general linear Lie superalgebra $\mathfrak{gl}(M|N)$. As a special case, our results provide explicit character formulas for a class of Kirillov--Reshetikhin modules of quantum affine algebras (and their Yangian counterparts), thereby proving a previously proposed conjecture derived from Bethe ansatz analysis (arXiv:2309.16660).

Nuclear Physics BVol. 1025
Openalex Percentile: Top 20%
Rings, Modules, and Algebras
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