2020/04/30 by Nathan Haouzi, Jihwan Oh
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/jhep01(2021)184
60 pages, 2 figures; v2: some typos corrected, references added
arxiv created 2020/07/06 · arxiv updated 2021/02/24
We propose a double quantization of four-dimensional \cal N=2 Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson identities, following the program initiated by Nekrasov [arXiv:1512.05388]. The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Ω-background on ℝ4, in the presence of half-BPS codimension 4 defects. The two quantization parameters are identified as the two parameters of this background. The Seiberg-Witten curve of each theory is recovered in the flat space limit. Whenever possible, we motivate our construction from type IIA string theory.