Twisted formalism for 3d N=4 theories
We describe the topological A and B twists of 3d ${\mathcal {N}}=4$ theories of hypermultiplets gauged by ${\mathcal {N}}=4$ vector multiplets as certain deformations of the holomorphic–topological (HT) twist of those theories, utilizing the twisted superfields of Aganagic–Costello–Vafa–McNamara d...
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| Format: | Journal article |
| Language: | English |
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Springer Nature
2024
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| _version_ | 1824459011331719168 |
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| author | Garner, N |
| author_facet | Garner, N |
| author_sort | Garner, N |
| collection | OXFORD |
| description | We describe the topological A and B twists of 3d ${\mathcal {N}}=4$ theories of hypermultiplets gauged by ${\mathcal {N}}=4$ vector multiplets as certain deformations of the holomorphic–topological (HT) twist of those theories, utilizing the twisted superfields of Aganagic–Costello–Vafa–McNamara describing HT-twisted 3d ${\mathcal {N}}=2$ theories. We rederive many known results from this perspective, including state spaces on Riemann surfaces, deformations induced by flavor symmetries, the boundary VOAs of Costello–Gaiotto, and the category of line operators as proposed by Costello–Dimofte–Gaiotto–Hilburn–Yoo. Along the way, we show how the secondary product of local operators in the holomorphic–topological twist is related to the secondary product in the fully topological twist. |
| first_indexed | 2024-12-09T03:37:32Z |
| format | Journal article |
| id | oxford-uuid:93a38a2e-6f7e-4dfb-91dc-7114120e90a5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:35:00Z |
| publishDate | 2024 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:93a38a2e-6f7e-4dfb-91dc-7114120e90a52025-01-30T08:43:44ZTwisted formalism for 3d N=4 theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:93a38a2e-6f7e-4dfb-91dc-7114120e90a5EnglishSymplectic ElementsSpringer Nature2024Garner, NWe describe the topological A and B twists of 3d ${\mathcal {N}}=4$ theories of hypermultiplets gauged by ${\mathcal {N}}=4$ vector multiplets as certain deformations of the holomorphic–topological (HT) twist of those theories, utilizing the twisted superfields of Aganagic–Costello–Vafa–McNamara describing HT-twisted 3d ${\mathcal {N}}=2$ theories. We rederive many known results from this perspective, including state spaces on Riemann surfaces, deformations induced by flavor symmetries, the boundary VOAs of Costello–Gaiotto, and the category of line operators as proposed by Costello–Dimofte–Gaiotto–Hilburn–Yoo. Along the way, we show how the secondary product of local operators in the holomorphic–topological twist is related to the secondary product in the fully topological twist. |
| spellingShingle | Garner, N Twisted formalism for 3d N=4 theories |
| title | Twisted formalism for 3d N=4 theories |
| title_full | Twisted formalism for 3d N=4 theories |
| title_fullStr | Twisted formalism for 3d N=4 theories |
| title_full_unstemmed | Twisted formalism for 3d N=4 theories |
| title_short | Twisted formalism for 3d N=4 theories |
| title_sort | twisted formalism for 3d n 4 theories |
| work_keys_str_mv | AT garnern twistedformalismfor3dn4theories |