(Quantum) Painleve’ / gauge theory correspondence and Heun connection problem

24 Jan 2024, 10:30
1h
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Alessandro Tanzini

Description

We discuss the relation between Painleve’ equations, supersymmetric gauge theories and Liouville CFT. As an application we show how within this circle of ideas one can solve the connection problem for Heun functions in terms of explicit combinatorial formulae arising from supersymmetric localisation. We also present work in progress on the extension of the correspondence to quantum Painleve’.

Presentation materials

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