2013/05/31 by Amir-Kian Kashani-Poor, Jan Troost · 37 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Decoupling (probability) #Gauge theory #Instanton #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #hep-th
paper · pdf · doi:10.1007/jhep10(2013)009
published in Journal of High Energy Physics 2013(10) (Springer Nature) · 31 pages, 1 figure; v2: typos corrected, references added
arxiv created 2013/09/20 · openalex publication_date 2013/10/01 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract We further explore the correspondence between N = 2 supersymmetric SU(2) gauge theory with four flavors on ϵ -deformed backgrounds and conformal field theory, with an emphasis on the ϵ -expansion of the partition function natural from a topological string theory point of view. Solving an appropriate null vector decoupling equation in the semi-classical limit allows us to express the instanton partition function as a series in quasi-modular forms of the group Γ(2), with the expected symmetry W ( D 4 ) ⋊ S 3 . In the presence of an elementary surface operator, this symmetry is enhanced to an action of W( D4(1) )\rtimes S4 on the instanton partition function, as we demonstrate via the link between the null vector decoupling equation and the quantum Painlevé VI equation.