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Article Dans Une Revue Annales Henri Poincaré Année : 2017

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.
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Dates et versions

hal-01269843 , version 1 (05-02-2016)

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Citer

Bertrand Eynard, Raphaël Belliard, Olivier Marchal. Loop equations from differential systems. Annales Henri Poincaré, 2017, 19 (2018), pp.141-161. ⟨hal-01269843⟩
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