Extremal unitary representations of big $N=4$ superconformal algebra
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910032211214336 |
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| author | Kac, Victor G. Frajria, Pierluigi Möseneder Papi, Paolo |
| author_facet | Kac, Victor G. Frajria, Pierluigi Möseneder Papi, Paolo |
| contents | In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big $N=4$ superconformal algebra which can be found in [5]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal $W$-algebras attached to basic Lie superalgebras formulated in [10], [11], and complete their proof for the big $N=4$ superconformal algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremal unitary representations of big $N=4$ superconformal algebra Kac, Victor G. Frajria, Pierluigi Möseneder Papi, Paolo Representation Theory Mathematical Physics In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big $N=4$ superconformal algebra which can be found in [5]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal $W$-algebras attached to basic Lie superalgebras formulated in [10], [11], and complete their proof for the big $N=4$ superconformal algebra. |
| title | Extremal unitary representations of big $N=4$ superconformal algebra |
| topic | Representation Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.10130 |