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

Physics – High Energy Physics – High Energy Physics - Theory

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11 pages, anonymous ftp at ftp://cpt.univ.-mrs.fr/ or gopher

Scientific paper

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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