3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models
Abstract We propose bulk 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theories, which are related to 2D N $$ \mathcal{N} $$ = 1 supersymmetric minimal models, SM (2, ·) and SM (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N $$ \ma...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)027 |
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| author | Seungjoo Baek Dongmin Gang |
| author_facet | Seungjoo Baek Dongmin Gang |
| author_sort | Seungjoo Baek |
| collection | DOAJ |
| description | Abstract We propose bulk 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theories, which are related to 2D N $$ \mathcal{N} $$ = 1 supersymmetric minimal models, SM (2, ·) and SM (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence. |
| format | Article |
| id | doaj-art-96e5a8a2f5c440c0bb838cd978ac8f16 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-96e5a8a2f5c440c0bb838cd978ac8f162025-01-19T12:07:21ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113110.1007/JHEP01(2025)0273D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal modelsSeungjoo Baek0Dongmin Gang1Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityAbstract We propose bulk 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theories, which are related to 2D N $$ \mathcal{N} $$ = 1 supersymmetric minimal models, SM (2, ·) and SM (3, ·), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates a 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. We test the proposal by checking several non-trivial dictionaries of the correspondence.https://doi.org/10.1007/JHEP01(2025)027Nonperturbative EffectsSupersymmetric Gauge Theory |
| spellingShingle | Seungjoo Baek Dongmin Gang 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models Journal of High Energy Physics Nonperturbative Effects Supersymmetric Gauge Theory |
| title | 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models |
| title_full | 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models |
| title_fullStr | 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models |
| title_full_unstemmed | 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models |
| title_short | 3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models |
| title_sort | 3d bulk field theories for 2d non unitary n mathcal n 1 supersymmetric minimal models |
| topic | Nonperturbative Effects Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2025)027 |
| work_keys_str_mv | AT seungjoobaek 3dbulkfieldtheoriesfor2dnonunitarynmathcaln1supersymmetricminimalmodels AT dongmingang 3dbulkfieldtheoriesfor2dnonunitarynmathcaln1supersymmetricminimalmodels |