The operator rings of topological symmetric orbifolds and their large N limit
Abstract We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions are single cycles joining while at second order we c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2024)039 |
| _version_ | 1797220092296036352 |
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| author | Sujay K. Ashok Jan Troost |
| author_facet | Sujay K. Ashok Jan Troost |
| author_sort | Sujay K. Ashok |
| collection | DOAJ |
| description | Abstract We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions are single cycles joining while at second order we can have double joining as well as splitting. At third order, single cycle joining obtains genus one contributions. We also compute illustrative small N structure constants. Our analysis applies to all second quantized Frobenius algebras, a large class of algebras that includes the cohomology ring of the Hilbert scheme of points on K3 among many others. We point out interesting open questions that our results raise. |
| first_indexed | 2024-04-24T12:44:02Z |
| format | Article |
| id | doaj.art-d27476ccff744ca9a5271efb29d19e02 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T12:44:02Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d27476ccff744ca9a5271efb29d19e022024-04-07T11:06:17ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024414810.1007/JHEP04(2024)039The operator rings of topological symmetric orbifolds and their large N limitSujay K. Ashok0Jan Troost1The Institute of Mathematical SciencesLaboratoire de Physique de l’École Normale Supérieure, CNRS, ENS, Université PSL, Sorbonne Université, Université Paris CitéAbstract We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions are single cycles joining while at second order we can have double joining as well as splitting. At third order, single cycle joining obtains genus one contributions. We also compute illustrative small N structure constants. Our analysis applies to all second quantized Frobenius algebras, a large class of algebras that includes the cohomology ring of the Hilbert scheme of points on K3 among many others. We point out interesting open questions that our results raise.https://doi.org/10.1007/JHEP04(2024)0391/N ExpansionTopological Field TheoriesAdS-CFT CorrespondenceConformal Field Models in String Theory |
| spellingShingle | Sujay K. Ashok Jan Troost The operator rings of topological symmetric orbifolds and their large N limit Journal of High Energy Physics 1/N Expansion Topological Field Theories AdS-CFT Correspondence Conformal Field Models in String Theory |
| title | The operator rings of topological symmetric orbifolds and their large N limit |
| title_full | The operator rings of topological symmetric orbifolds and their large N limit |
| title_fullStr | The operator rings of topological symmetric orbifolds and their large N limit |
| title_full_unstemmed | The operator rings of topological symmetric orbifolds and their large N limit |
| title_short | The operator rings of topological symmetric orbifolds and their large N limit |
| title_sort | operator rings of topological symmetric orbifolds and their large n limit |
| topic | 1/N Expansion Topological Field Theories AdS-CFT Correspondence Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP04(2024)039 |
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