Defining relations for minimal unitary quantum affine W-algebras
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913455488892928 |
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| author | Adamović, Dražen Kac, Victor . G. Frajria, Pierluigi Möseneder Papi, Paolo |
| author_facet | Adamović, Dražen Kac, Victor . G. Frajria, Pierluigi Möseneder Papi, Paolo |
| contents | We prove that any unitary highest weight module over a universal minimal quantum affine $W$-algebra at non-critical level descends to its simple quotient. We find the defining relations of the unitary simple minimal quantum affine $W$-algebras and the list of all their irreducible positive energy modules. We also classify all irreducible highest weight modules for the simple affine vertex algebras in the cases when the associated simple minimal $W$-algebra is unitary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_05269 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Defining relations for minimal unitary quantum affine W-algebras Adamović, Dražen Kac, Victor . G. Frajria, Pierluigi Möseneder Papi, Paolo Representation Theory Mathematical Physics Quantum Algebra We prove that any unitary highest weight module over a universal minimal quantum affine $W$-algebra at non-critical level descends to its simple quotient. We find the defining relations of the unitary simple minimal quantum affine $W$-algebras and the list of all their irreducible positive energy modules. We also classify all irreducible highest weight modules for the simple affine vertex algebras in the cases when the associated simple minimal $W$-algebra is unitary. |
| title | Defining relations for minimal unitary quantum affine W-algebras |
| topic | Representation Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2302.05269 |