Monopole operators and bulk-boundary relation in holomorphic topological theories
We study the holomorphic twist of $3d$ $\mathcal{N} = 2$ supersymmetric field theories, discuss the perturbative bulk local operators in general, and explicitly construct non perturbative bulk local operators for abelian gauge theories. Our construction is verified by matching the character of the a...
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| Format: | Article |
| Language: | English |
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SciPost
2023-06-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.6.153 |
| _version_ | 1797805350743703552 |
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| author | Keyou Zeng |
| author_facet | Keyou Zeng |
| author_sort | Keyou Zeng |
| collection | DOAJ |
| description | We study the holomorphic twist of $3d$ $\mathcal{N} = 2$ supersymmetric field theories, discuss the perturbative bulk local operators in general, and explicitly construct non perturbative bulk local operators for abelian gauge theories. Our construction is verified by matching the character of the algebra with the superconformal index. We test a conjectural relation between the derived center of boundary algebras and bulk algebras in various cases, including Landau-Ginzburg models with an arbitrary superpotential and some abelian gauge theories. In the latter cases, monopole operators appear in the derived center of a perturbative boundary algebra. We briefly discuss the higher structures in both boundary and bulk algebras. |
| first_indexed | 2024-03-13T05:50:46Z |
| format | Article |
| id | doaj.art-524e5d2302c74140a52e12a31ba39352 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-13T05:50:46Z |
| publishDate | 2023-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-524e5d2302c74140a52e12a31ba393522023-06-13T12:58:33ZengSciPostSciPost Physics2542-46532023-06-0114615310.21468/SciPostPhys.14.6.153Monopole operators and bulk-boundary relation in holomorphic topological theoriesKeyou ZengWe study the holomorphic twist of $3d$ $\mathcal{N} = 2$ supersymmetric field theories, discuss the perturbative bulk local operators in general, and explicitly construct non perturbative bulk local operators for abelian gauge theories. Our construction is verified by matching the character of the algebra with the superconformal index. We test a conjectural relation between the derived center of boundary algebras and bulk algebras in various cases, including Landau-Ginzburg models with an arbitrary superpotential and some abelian gauge theories. In the latter cases, monopole operators appear in the derived center of a perturbative boundary algebra. We briefly discuss the higher structures in both boundary and bulk algebras.https://scipost.org/SciPostPhys.14.6.153 |
| spellingShingle | Keyou Zeng Monopole operators and bulk-boundary relation in holomorphic topological theories SciPost Physics |
| title | Monopole operators and bulk-boundary relation in holomorphic topological theories |
| title_full | Monopole operators and bulk-boundary relation in holomorphic topological theories |
| title_fullStr | Monopole operators and bulk-boundary relation in holomorphic topological theories |
| title_full_unstemmed | Monopole operators and bulk-boundary relation in holomorphic topological theories |
| title_short | Monopole operators and bulk-boundary relation in holomorphic topological theories |
| title_sort | monopole operators and bulk boundary relation in holomorphic topological theories |
| url | https://scipost.org/SciPostPhys.14.6.153 |
| work_keys_str_mv | AT keyouzeng monopoleoperatorsandbulkboundaryrelationinholomorphictopologicaltheories |