Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators
Abstract
We consider the universal central extension of the Lie algebra (S1) C∞(S1). 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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