On the quantization of Seiberg-Witten geometry
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 by Nekrasov [1]. The constr...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer
2021
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| _version_ | 1826287242348331008 |
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| author | Haouzi, N Oh, J |
| author_facet | Haouzi, N Oh, J |
| author_sort | Haouzi, N |
| collection | OXFORD |
| description | 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 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 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. |
| first_indexed | 2024-03-07T01:55:42Z |
| format | Journal article |
| id | oxford-uuid:9ba29d2c-d749-4d11-be66-2719cc5332a5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:55:42Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:9ba29d2c-d749-4d11-be66-2719cc5332a52022-03-27T00:30:11ZOn the quantization of Seiberg-Witten geometryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9ba29d2c-d749-4d11-be66-2719cc5332a5EnglishSymplectic ElementsSpringer2021Haouzi, NOh, JWe 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 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 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. |
| spellingShingle | Haouzi, N Oh, J On the quantization of Seiberg-Witten geometry |
| title | On the quantization of Seiberg-Witten geometry |
| title_full | On the quantization of Seiberg-Witten geometry |
| title_fullStr | On the quantization of Seiberg-Witten geometry |
| title_full_unstemmed | On the quantization of Seiberg-Witten geometry |
| title_short | On the quantization of Seiberg-Witten geometry |
| title_sort | on the quantization of seiberg witten geometry |
| work_keys_str_mv | AT haouzin onthequantizationofseibergwittengeometry AT ohj onthequantizationofseibergwittengeometry |