Matrix-valued Gaussian free fields on networks satisfy random-walk isomorphism identities whose topological expansion is encoded by ribbon graphs, with Wilson loop holonomies appearing for twisted connections.
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Topological expansion in isomorphism theorems between matrix-valued fields and random walks
Matrix-valued Gaussian free fields on networks satisfy random-walk isomorphism identities whose topological expansion is encoded by ribbon graphs, with Wilson loop holonomies appearing for twisted connections.