Séminaire de Physique Théorique
Exact WKB analysis of the Mathieu equation and epsilon deformed SU(2) gauge theoryAmir Kashani-Poor (ENS)
Thursday 11 February 2016 14:00 - Tours - Salle 1180 (Bât E2)
Résumé :
The 2d/4d correspondence relating 2d conformal field theory to 4d gauge theory permits reducing the computation of certain generalized instanton generating functions in gauge theory to the solution of differential equations. In the case of pure N=2 supersymmetric SU(2) gauge theory, the relevant differential equation is the Mathieu equation. The aforementioned “generalized” is reflected in the presence of an expansion parameter epsilon related to the embedding of the gauge theory within string theory. In this talk, we will study the Mathieu equation with exact WKB methods and relate the analysis to non-perturbative effects in epsilon contributing to the instanton generating function.
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