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Title:
On the Quantization of Seiberg-Witten Geometry
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Abstract:
We propose a double quantization of four-dimensional 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 in arXiv:1512.05388 . The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Omega-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 the theory is recovered in the flat space limit. Whenever possible, we derive these results from type IIA string theory.
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