Loop equations from differential systems
Résumé
To any differential system dΨ = ΦΨ where Ψ belongs to a Lie group (a fiber of a principal bundle) and Φ is a Lie algebra g valued 1-form on a Riemann surface Σ, is associated an infinite sequence of "correlators" W_n that are symmetric n-forms on Σ^n. The goal of this article is to prove that these correlators always satisfy "loop equations" , the same equations satisfied by correlation functions in random matrix models, or the same equations as Virasoro or W-algebra constraints in CFT.
Domaines
Physique mathématique [math-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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