Segal-Sugawara vectors for orthosymplectic Lie superalgebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909712631463936 |
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| author | Molev, Alexander Nurcombe, Madeline |
| author_facet | Molev, Alexander Nurcombe, Madeline |
| contents | We consider the centre of the affine vertex algebra at the critical level associated with the orthosymplectic Lie superalgebra. It is well-known that the centre is a commutative superalgebra, and we construct a family of its elements in an explicit form. In particular, this gives a new proof of the formulas for the central elements for the orthogonal and symplectic Lie algebras. Our arguments rely on the properties of a new extended Brauer-type algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22738 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Segal-Sugawara vectors for orthosymplectic Lie superalgebras Molev, Alexander Nurcombe, Madeline Representation Theory Mathematical Physics We consider the centre of the affine vertex algebra at the critical level associated with the orthosymplectic Lie superalgebra. It is well-known that the centre is a commutative superalgebra, and we construct a family of its elements in an explicit form. In particular, this gives a new proof of the formulas for the central elements for the orthogonal and symplectic Lie algebras. Our arguments rely on the properties of a new extended Brauer-type algebra. |
| title | Segal-Sugawara vectors for orthosymplectic Lie superalgebras |
| topic | Representation Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.22738 |