Vertex operator algebras and topologically twisted Chern-Simons-matter theories
Abstract We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk. Our main examples come from the topological A and B twists of the exotic N $$ \mathcal{N} $$ = 4 Chern-Simons-...
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| Formato: | Artículo |
| Lenguaje: | English |
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SpringerOpen
2023-08-01
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| Colección: | Journal of High Energy Physics |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/JHEP08(2023)025 |
| _version_ | 1827781308558868480 |
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| author | Niklas Garner |
| author_facet | Niklas Garner |
| author_sort | Niklas Garner |
| collection | DOAJ |
| description | Abstract We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk. Our main examples come from the topological A and B twists of the exotic N $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories of Gaiotto-Witten, but we show that there is a topological “A-twist” for a much larger class of N $$ \mathcal{N} $$ ≠ 4 theories. We illustrate a particular example of this new class of theories that admits the p = 2 singlet VOA M $$ \mathfrak{M} $$ (2) on its boundary and comment on its relation to the ψ → ∞ limit of the Gaiotto-Rapčák corner VOA Y 1,1,0[ψ]. |
| first_indexed | 2024-03-11T15:17:01Z |
| format | Article |
| id | doaj.art-9ba6c9c40e1440afb1e4f55f0748cdd8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:01Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9ba6c9c40e1440afb1e4f55f0748cdd82023-10-29T12:11:50ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023814710.1007/JHEP08(2023)025Vertex operator algebras and topologically twisted Chern-Simons-matter theoriesNiklas Garner0Department of Physics, University of WashingtonAbstract We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk. Our main examples come from the topological A and B twists of the exotic N $$ \mathcal{N} $$ = 4 Chern-Simons-matter theories of Gaiotto-Witten, but we show that there is a topological “A-twist” for a much larger class of N $$ \mathcal{N} $$ ≠ 4 theories. We illustrate a particular example of this new class of theories that admits the p = 2 singlet VOA M $$ \mathfrak{M} $$ (2) on its boundary and comment on its relation to the ψ → ∞ limit of the Gaiotto-Rapčák corner VOA Y 1,1,0[ψ].https://doi.org/10.1007/JHEP08(2023)025Chern-Simons TheoriesSupersymmetric Gauge TheoryTopological Field Theories |
| spellingShingle | Niklas Garner Vertex operator algebras and topologically twisted Chern-Simons-matter theories Journal of High Energy Physics Chern-Simons Theories Supersymmetric Gauge Theory Topological Field Theories |
| title | Vertex operator algebras and topologically twisted Chern-Simons-matter theories |
| title_full | Vertex operator algebras and topologically twisted Chern-Simons-matter theories |
| title_fullStr | Vertex operator algebras and topologically twisted Chern-Simons-matter theories |
| title_full_unstemmed | Vertex operator algebras and topologically twisted Chern-Simons-matter theories |
| title_short | Vertex operator algebras and topologically twisted Chern-Simons-matter theories |
| title_sort | vertex operator algebras and topologically twisted chern simons matter theories |
| topic | Chern-Simons Theories Supersymmetric Gauge Theory Topological Field Theories |
| url | https://doi.org/10.1007/JHEP08(2023)025 |
| work_keys_str_mv | AT niklasgarner vertexoperatoralgebrasandtopologicallytwistedchernsimonsmattertheories |