Exts and the AGT Relations
We prove the connection between the Nekrasov partition function of N= 2 super-symmetric U(2) gauge theory with adjoint matter and conformal blocks for the Virasoro algebra, as predicted by the Alday–Gaiotto–Tachikawa relations. Mathematically, this is achieved by relating the Carlsson–Okounkov Ext v...
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| Format: | Article |
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Springer-Verlag
2018
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| Online Access: | http://hdl.handle.net/1721.1/115960 https://orcid.org/0000-0002-1622-8638 |
| _version_ | 1826197946351222784 |
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| author | Negut, Andrei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Negut, Andrei |
| author_sort | Negut, Andrei |
| collection | MIT |
| description | We prove the connection between the Nekrasov partition function of N= 2 super-symmetric U(2) gauge theory with adjoint matter and conformal blocks for the Virasoro algebra, as predicted by the Alday–Gaiotto–Tachikawa relations. Mathematically, this is achieved by relating the Carlsson–Okounkov Ext vector bundle on the moduli space of rank 2 sheaves with Liouville vertex operators. Our approach is geometric in nature, and uses a new method for intersection-theoretic computations of the Ext operator. Keywords: Nekrasov partition function, AGT relations, Ext operators, shuffle algebra |
| first_indexed | 2024-09-23T10:56:12Z |
| format | Article |
| id | mit-1721.1/115960 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:56:12Z |
| publishDate | 2018 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1159602022-09-27T16:03:31Z Exts and the AGT Relations Negut, Andrei Massachusetts Institute of Technology. Department of Mathematics Negut, Andrei We prove the connection between the Nekrasov partition function of N= 2 super-symmetric U(2) gauge theory with adjoint matter and conformal blocks for the Virasoro algebra, as predicted by the Alday–Gaiotto–Tachikawa relations. Mathematically, this is achieved by relating the Carlsson–Okounkov Ext vector bundle on the moduli space of rank 2 sheaves with Liouville vertex operators. Our approach is geometric in nature, and uses a new method for intersection-theoretic computations of the Ext operator. Keywords: Nekrasov partition function, AGT relations, Ext operators, shuffle algebra 2018-05-30T14:13:04Z 2018-05-30T14:13:04Z 2016-09 2018-05-29T16:54:30Z Article http://purl.org/eprint/type/JournalArticle 0377-9017 1573-0530 http://hdl.handle.net/1721.1/115960 Neguţ, Andrei. “Exts and the AGT Relations.” Letters in Mathematical Physics, vol. 106, no. 9, Sept. 2016, pp. 1265–316. https://orcid.org/0000-0002-1622-8638 http://dx.doi.org/10.1007/s11005-016-0865-3 Letters in Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Negut, Andrei Exts and the AGT Relations |
| title | Exts and the AGT Relations |
| title_full | Exts and the AGT Relations |
| title_fullStr | Exts and the AGT Relations |
| title_full_unstemmed | Exts and the AGT Relations |
| title_short | Exts and the AGT Relations |
| title_sort | exts and the agt relations |
| url | http://hdl.handle.net/1721.1/115960 https://orcid.org/0000-0002-1622-8638 |
| work_keys_str_mv | AT negutandrei extsandtheagtrelations |