Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-02
Physics
High Energy Physics
High Energy Physics - Theory
19 pages
Scientific paper
We discuss the notion of a Batalin-Vilkovisky (BV) algebra and give several classical examples from differential geometry and Lie theory. We introduce the notion of a quantum operator algebra (QOA) as a generalization of a classical operator algebra. In some examples, we view a QOA as a deformation of a commutative algebra. We then review the notion of a vertex operator algebra (VOA) and show that a vertex operator algebra is a QOA with some additional structures. Finally, we establish a connection between BV algebras and VOAs.
Lian Bong H.
Zuckerman Gregg J.
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