Periodicity of Y-systems and flat connections

2006/06/15 by András Szenes, Szenes, Andras
Mathematics · #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0606377

Abstract

We give a proof of the periodicity of Zamolodchikov's Y-systems in the AxA case using a novel interpretation of the system as a condition of flatness of a connection on a certain graph.

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