Global Magni4icence, or: 4G Networks
The global magnificent four theory is the homological version of a maximally supersymmetric (8+1)-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold, we conjecture the formula for its twisted Witten index. String-theoretically, we count the BPS s...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212786 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Global Magni4icence, or: 4G Networks. Nikita Nekrasov and Nicolò Piazzalunga. SIGMA 20 (2024), 106, 27 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862610230392651776 |
|---|---|
| author | Nekrasov, Nikita Piazzalunga, Nicolò |
| author_facet | Nekrasov, Nikita Piazzalunga, Nicolò |
| citation_txt | Global Magni4icence, or: 4G Networks. Nikita Nekrasov and Nicolò Piazzalunga. SIGMA 20 (2024), 106, 27 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The global magnificent four theory is the homological version of a maximally supersymmetric (8+1)-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold, we conjecture the formula for its twisted Witten index. String-theoretically, we count the BPS states of a system of 0-2-4-6-8-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz -field. Mathematically, we develop the equivariant -theoretic DT4 theory by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in 8+1 dimensions.
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| first_indexed | 2026-03-21T11:56:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212786 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:56:07Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nekrasov, Nikita Piazzalunga, Nicolò 2026-02-11T10:38:58Z 2024 Global Magni4icence, or: 4G Networks. Nikita Nekrasov and Nicolò Piazzalunga. SIGMA 20 (2024), 106, 27 pages 1815-0659 2020 Mathematics Subject Classification: 14N35; 81T30; 81T60 arXiv:2306.12995 https://nasplib.isofts.kiev.ua/handle/123456789/212786 https://doi.org/10.3842/SIGMA.2024.106 The global magnificent four theory is the homological version of a maximally supersymmetric (8+1)-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold, we conjecture the formula for its twisted Witten index. String-theoretically, we count the BPS states of a system of 0-2-4-6-8-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz -field. Mathematically, we develop the equivariant -theoretic DT4 theory by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in 8+1 dimensions. NP thanks M. de Cataldo, L. Cassia, E. Diaconescu, S. Franco, M. Kool, and V. Saxena for discussions. The research of NP was supported by the US Department of Energy under grant DE-SC0010008. We also thank the anonymous referees for their detailed feedback. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Global Magni4icence, or: 4G Networks Article published earlier |
| spellingShingle | Global Magni4icence, or: 4G Networks Nekrasov, Nikita Piazzalunga, Nicolò |
| title | Global Magni4icence, or: 4G Networks |
| title_full | Global Magni4icence, or: 4G Networks |
| title_fullStr | Global Magni4icence, or: 4G Networks |
| title_full_unstemmed | Global Magni4icence, or: 4G Networks |
| title_short | Global Magni4icence, or: 4G Networks |
| title_sort | global magni4icence, or: 4g networks |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212786 |
| work_keys_str_mv | AT nekrasovnikita globalmagni4icenceor4gnetworks AT piazzalunganicolo globalmagni4icenceor4gnetworks |