Connections and loops intertwinning
Probability
2022-11-01 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2209.01218,
title = {Connections and loops intertwinning},
author = {Yves Le Jan},
journal= {arXiv preprint arXiv:2209.01218},
year = {2022}
}
Comments
19 pages