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Multicolored Temperley-Lieb lattice models. The ground state

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arxiv cond-mat/0605447 v2 pith:5JPBMA4N submitted 2006-05-18 cond-mat.stat-mech hep-thnlin.SI

A.Babichenko , D.Gepner This is my paper · ORCID
classification cond-mat.stat-mechhep-thnlin.SI
keywords modelsgroundlatticemulticoloredstatetemperley-liebalgebrasanalyzed
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Using inversion relation, we calculate the ground state energy for the lattice integrable models, based on a recently obtained baxterization of non trivial multicolored generalization of Temperley-Lieb algebras. The simplest vertex and IRF models are analyzed and found to have a mass gap.

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  1. Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions

    math.CO 2025-07 conditional novelty 6.0 of 10

    Fuss-Catalan algebras and their one- and two-boundary versions are realized on increasing chains of non-crossing partitions, with a new r=2 reflection equation solution.

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