– Europe/Lisbon
Room P3.10, Mathematics Building — Online
Applied SUSY QFT : Refined Painlevé/Gauge theory correspondence & blow-up equations
In the last years an unexpected interplay between the theory of Painlevé equations and supersymmetric quantum field theory (QFT) has been established. We will explain how this link helps in solving Painlevé equations via perturbative susyQFTs and how non-perturbative susyQFTs get solved thanks to the theory of Painlevé equations. The correspondence gets enlighten by the Alday-Gaiotto-Tachikawa (AGT) correspondence which relates the gauge theory computations in terms of CFT2 quantities. A key role is played by the interpretation of the theory of integrable (quantum)-isomonodromic deformations of linear systems as renormalization group equations in susyQFTs on blow-up geometries. We will discuss the above topic in some relevant simple examples (PIII3, PI,Quantum PI,...) to exemplify a more general set of results.