Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories
Seiberg-Witten geometry of mass deformed = 2 superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify the space of vacua of the theory with the moduli space of the genus zero holomorphic (quasi)maps to...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211984 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories. Nikita Nekrasov and Vasily Pestun. SIGMA 19 (2023), 047, 141 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704200955199488 |
|---|---|
| author | Nekrasov, Nikita Pestun, Vasily |
| author_facet | Nekrasov, Nikita Pestun, Vasily |
| citation_txt | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories. Nikita Nekrasov and Vasily Pestun. SIGMA 19 (2023), 047, 141 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Seiberg-Witten geometry of mass deformed = 2 superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify the space of vacua of the theory with the moduli space of the genus zero holomorphic (quasi)maps to the moduli space BunG(ℰ) of holomorphic ℂ-bundles on a (possibly degenerate) elliptic curve ℰ defined in terms of the microscopic gauge couplings, for the corresponding simple ADE Lie group . The integrable systems underlying the special geometry of are identified. The moduli spaces of framed -instantons on ℝ²×², of -monopoles with singularities on ℝ²×¹, the Hitchin systems on curves with punctures, as well as various spin chains play an important rôle in our story. We also comment on the higher-dimensional theories.
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| first_indexed | 2026-03-18T18:54:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211984 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T18:54:43Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nekrasov, Nikita Pestun, Vasily 2026-01-20T16:14:25Z 2023 Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories. Nikita Nekrasov and Vasily Pestun. SIGMA 19 (2023), 047, 141 pages 1815-0659 2020 Mathematics Subject Classification: 81T12; 81T13; 81T70 arXiv:1211.2240 https://nasplib.isofts.kiev.ua/handle/123456789/211984 https://doi.org/10.3842/SIGMA.2023.047 Seiberg-Witten geometry of mass deformed = 2 superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify the space of vacua of the theory with the moduli space of the genus zero holomorphic (quasi)maps to the moduli space BunG(ℰ) of holomorphic ℂ-bundles on a (possibly degenerate) elliptic curve ℰ defined in terms of the microscopic gauge couplings, for the corresponding simple ADE Lie group . The integrable systems underlying the special geometry of are identified. The moduli spaces of framed -instantons on ℝ²×², of -monopoles with singularities on ℝ²×¹, the Hitchin systems on curves with punctures, as well as various spin chains play an important rôle in our story. We also comment on the higher-dimensional theories. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories Article published earlier |
| spellingShingle | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories Nekrasov, Nikita Pestun, Vasily |
| title | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories |
| title_full | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories |
| title_fullStr | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories |
| title_full_unstemmed | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories |
| title_short | Seiberg-Witten Geometry of Four-Dimensional = 2 Quiver Gauge Theories |
| title_sort | seiberg-witten geometry of four-dimensional = 2 quiver gauge theories |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211984 |
| work_keys_str_mv | AT nekrasovnikita seibergwittengeometryoffourdimensional2quivergaugetheories AT pestunvasily seibergwittengeometryoffourdimensional2quivergaugetheories |