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Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators

P. Marcel·V. Ovsienko·C. Roger
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Abstract

We consider the universal central extension of the Lie algebra $\Vect (S^1)${\math \s}$ C^{\infty}(S^1)$. The coadjoint representation of this Lie algebra has a natural geometric interpretation by matrix analogues of the Sturm-Liouville operators. This approach leads to new Lie superalgebras generalizing the well-known Neveu-Schwartz algebra.

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P. Marcel, V. Ovsienko, C. Roger. 1996-02-29. Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators. https://arxiv.org/abs/hep-th/9602170

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