2012/12/31 by Amir-Kian Kashani-Poor, Jan Troost · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Gauge theory #Orientifold #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #String theory #Supersymmetric gauge theory #Topological quantum field theory #Topological string theory #Torus #hep-th
paper · pdf · doi:10.1007/jhep03(2013)133
36 pages
openalex publication_date 2013/03/01 · arxiv created 2013/05/09 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
A bstract We study the correspondence between four-dimensional supersymmetric gauge theories and two-dimensional conformal field theories in the case of N=2* gauge theory. We emphasize the genus expansion on the gauge theory side, as obtained via geometric engineering from the topological string. This point of view uncovers modular properties of the one-point conformal block on a torus with complexified intermediate momenta: in the large intermediate weight limit, it is a power series whose coefficients are quasimodular forms. The all-genus viewpoint that the conformal field theory approach lends to the topological string yields insight into the analytic structure of the topological string partition function in the field theory limit.