Extension of the Virasoro and Neveu-Schwarz Algebras and Generalized Sturm-Liouville Operators
Abstract
We consider the universal central extension of the Lie algebra Vect(S1) C∞(S1). The coadjoint representation of thisLie algebra has a natural geometric interpretation by matrix analogues ofthe Sturm -Liouville operators. This approach leads to new Liesuperalgebras generalizing the well-known Neveu -Schwarz algebra.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- April 1997
- DOI:
- 10.1023/A:1007310811875
- arXiv:
- arXiv:hep-th/9602170
- Bibcode:
- 1997LMaPh..40...31M
- Keywords:
-
- Virasoro algebra;
- Neveu-Schwarz algebra;
- Sturm-Liouville operators;
- superalgebras.;
- High Energy Physics - Theory
- E-Print:
- 11 pages, anonymous ftp at ftp://cpt.univ.-mrs.fr/ or gopher