Connections and loops intertwinning

Yves Le Jan

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arXiv · 2209.01218

Connections and loops intertwinning

Yves Le Jan

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Abstract

On a finite graph, we prove that trace of holonomies determine an intertwining relation between merge-and-split generators on collections of geodesic loops ensembles and Casimir operators on unitary connections. By adding a deformation part to the generator on loops, this result is extended to the Casimir operator modified in order to be self adjoint with respect to Yang- Mills measure.

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Yves Le Jan. 2022-09-02. Connections and loops intertwinning. https://arxiv.org/abs/2209.01218

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