A quantum cluster algebra approach to representations of simply laced quantum affine algebras
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02664-9
Abstract: We establish a quantum cluster algebra structure on the quantum Grothendieck ring of a certain monoidal subcategory of the category of finite-dimensional representations of a simply-laced quantum affine algebra. Moreover, the (q, t)-characters of certain irreducible… read more here.
Keywords: cluster algebra; quantum; quantum cluster; quantum affine ... See more keywords
Cluster Algebras for Feynman Integrals.
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DOI: 10.1103/physrevlett.126.091603
Abstract: We initiate the study of cluster algebras in Feynman integrals in dimensional regularization. We provide evidence that four-point Feynman integrals with one off-shell leg are described by a C_{2} cluster algebra, and we find cluster… read more here.
Keywords: algebras feynman; feynman integrals; cluster algebras; particle ... See more keywords