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

Marcel, P.; Ovsienko, V.; Roger, C.
Bibliographical reference

eprint arXiv:hep-th/9602170

Advertised on:
2
1996
Number of authors
3
IAC number of authors
0
Citations
0
Refereed citations
0
Description
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.