On the quantization of Seiberg-Witten geometry
On the quantization of Seiberg-Witten geometry
复制标题
关于 Seiberg-Witten 几何的量子化
DOI：
--
复制
发表时间：
2020
影响因子：
5.4
通讯作者：
Jihwan Oh
中科院分区：
文献类型：
--
作者：
Nathan Haouzi;Jihwan Oh
我们提出了四维N $$ \mathcal{N} $$ = 2 Seiberg-Witten几何的双量子化，适用于所有经典规范群和各种物质含量。这可以理解为一组非微扰的Schwinger-Dyson恒等式，遵循Nekrasov[1]提出的方案。该构造依赖于在所谓的Ω-background上的规范理论的瞬时配分函数的计算，在存在半bps余维4缺陷的情况下。两个量化参数被识别为该背景的两个参数。每一种理论的Seiberg-Witten曲线都是在平坦的空间极限中恢复的。只要有可能，我们就从IIA型弦理论出发。
We propose a double quantization of four-dimensional N $$ \mathcal{N} $$ = 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 [1]. The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Ω-background on ℝ 4 , 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.