HET journal club by Leonid Chekhov (Steklov) – Niels Bohr Institute - University of Copenhagen

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HET journal club by Leonid Chekhov (Steklov)

Seiberg--Witten equation in quantum Liouville theory and topological recursion.

We use the Seiberg--Witten relations for quantum Riemann surfaces to find partial derivatives of the partition funciton of quantum Liouville theory in the strong-coupling limit. We construct the topological recursion procedure for calculating resolvents and verify the correspondence in the first two orders thus attaining a perfect coincidence with Dorn--Otto--Zamolodchkov's explicit answer.