On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra
We classify all possible occurrences of Kazama-Suzuki duality between the = 2 superconformal algebra ᴺ⁼²c and the subregular -algebra ₖ(₄, ₛᵤb). We establish a new Kazama-Suzuki duality between the subregular -algebra ₖ(₄, ₛᵤb) and the = 2 superconformal algebra ᴺ⁼²c for c = −15. As a consequence...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213179 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra. Dražen Adamović and Ana Kontrec. SIGMA 21 (2025), 036, 23 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862638813964140544 |
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| author | Adamović, Dražen Kontrec, Ana |
| author_facet | Adamović, Dražen Kontrec, Ana |
| citation_txt | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra. Dražen Adamović and Ana Kontrec. SIGMA 21 (2025), 036, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We classify all possible occurrences of Kazama-Suzuki duality between the = 2 superconformal algebra ᴺ⁼²c and the subregular -algebra ₖ(₄, ₛᵤb). We establish a new Kazama-Suzuki duality between the subregular -algebra ₖ(₄, ₛᵤb) and the = 2 superconformal algebra ᴺ⁼²c for c = −15. As a consequence of the duality, we classify the irreducible ₖ₌₋₁(₄, ₛᵤb)-modules.
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| first_indexed | 2026-03-15T02:47:09Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-213179 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T02:47:09Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Adamović, Dražen Kontrec, Ana 2026-02-16T16:33:52Z 2025 On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra. Dražen Adamović and Ana Kontrec. SIGMA 21 (2025), 036, 23 pages 1815-0659 2020 Mathematics Subject Classification: 17B69; 17B67; 17B68 arXiv:2411.08406 https://nasplib.isofts.kiev.ua/handle/123456789/213179 https://doi.org/10.3842/SIGMA.2025.036 We classify all possible occurrences of Kazama-Suzuki duality between the = 2 superconformal algebra ᴺ⁼²c and the subregular -algebra ₖ(₄, ₛᵤb). We establish a new Kazama-Suzuki duality between the subregular -algebra ₖ(₄, ₛᵤb) and the = 2 superconformal algebra ᴺ⁼²c for c = −15. As a consequence of the duality, we classify the irreducible ₖ₌₋₁(₄, ₛᵤb)-modules. We thank Shigenori Nakatsuka for interesting discussions on Kazama–Suzuki duality and Andrej Dujella for help in numerical calculations in Section3. We would like to thank the referees for their valuable comments. The authors arepartially supported by the Croatian Science Foundation under the project IP-2022-10-9006 and by the Project “Implementation of cutting edge research and its application as part of the Scientific Center of Excellence QuantiXLie”, PK.1.1.02, European Union, European Regional Development Fund. A part of this work was done while D.A. was staying at RIMS, Kyoto University, in September 2024. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra Article published earlier |
| spellingShingle | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra Adamović, Dražen Kontrec, Ana |
| title | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra |
| title_full | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra |
| title_fullStr | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra |
| title_full_unstemmed | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra |
| title_short | On Kazama-Suzuki Duality between ₖ(₄, ₛᵤb) and = 2 Superconformal Vertex Algebra |
| title_sort | on kazama-suzuki duality between ₖ(₄, ₛᵤb) and = 2 superconformal vertex algebra |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213179 |
| work_keys_str_mv | AT adamovicdrazen onkazamasuzukidualitybetweenk4suband2superconformalvertexalgebra AT kontrecana onkazamasuzukidualitybetweenk4suband2superconformalvertexalgebra |