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arXiv · 2507.22738

Segal-Sugawara vectors for orthosymplectic Lie superalgebras

Alexander Molev·Madeline Nurcombe
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Abstract

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.

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BibTeXRIS

Alexander Molev, Madeline Nurcombe. 2025-07-30. Segal-Sugawara vectors for orthosymplectic Lie superalgebras. https://doi.org/10.1007/s11005-025-02030-y

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