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

1996/02/29 by P. Marcel, V. Ovsienko, C. Roger · 1 citation
Physics and Astronomy · #hep-th

paper · pdf

published as Lett.Math.Phys. 40 (1997) 31-39 · 11 pages, anonymous ftp at ftp://cpt.univ.-mrs.fr/ or gopher

arxiv created 1996/02/29 · arxiv updated 2009/11/30

Abstract

We consider the universal central extension of the Lie algebra \Vect (S¹)\math \s 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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