ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM

Authors
KHUDAVERDIAN OM NERSESSIAN AP
Citation
Om. Khudaverdian et Ap. Nersessian, ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM, Modern physics letters A, 8(25), 1993, pp. 2377-2385
Citations number
NO
Categorie Soggetti
Physics
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
8
Issue
25
Year of publication
1993
Pages
2377 - 2385
Database
ISI
SICI code
0217-7323(1993)8:25<2377:OTGOTB>2.0.ZU;2-V
Abstract
An invariant definition of the operator DELTA of the Batalin-Vilkovisk y formalism is proposed. It is defined as the divergence of a Hamilton ian vector field with an odd Poisson bracket (anti-bracket). Its main properties, which follow from this definition, as well as an example o f realization of Kahlerian supermanifolds, are considered. The geometr ical meaning of the Batalin-Vilkovisky formalism is discussed.