CFT and topological recursion

  title={CFT and topological recursion},
  author={Ivan Kostov and Nicolas Orantin},
  journal={Journal of High Energy Physics},
We study the quasiclassical expansion associated with a complex curve. In a more specific context this is the 1/N expansion in U(N)-invariant matrix integrals. We compare two approaches, the CFT approach and the topological recursion, and show their equivalence. The CFT approach reformulates the problem in terms of a conformal field theory on a Riemann surface, while the topological recursion is based on a recurrence equation for the observables representing symplectic invariants on the complex… 
Abstract loop equations, topological recursion, and applications
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  • 2018
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Analyticity of the free energy for quantum Airy structures
  • B. Ruba
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    Journal of Physics A: Mathematical and Theoretical
  • 2020
It is shown that the free energy associated to a finite-dimensional Airy structure is an analytic function at each finite order of the -expansion. Its terms are interpreted as objects living on the


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