ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM-Reference-Cited by-同舟云学术

ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM

Published:1993-08-20 Issue:25 Volume:08 Page:2377-2385
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

KHUDAVERDIAN O. M.¹²,NERSESSIAN A. P.³

Affiliation:

1. Yerevan State University, Yerevan, Armenia

2. Département de Physique Théorique, Université de Genève, Genève, Switzerland

3. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Head Post Office, P. O. Box 79, 101 000 Moscow, Russia

Abstract

An invariant definition of the operator Δ of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (anti-bracket). Its main properties, which follow from this definition, as well as an example of realization of Kählerian supermanifolds, are considered. The geometrical meaning of the Batalin-Vilkovisky formalism is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732393003676

Cited by 42 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the geometry of forms on supermanifolds;Differential Geometry and its Applications;2023-06

2. On a Batalin–Vilkovisky operator generating higher Koszul brackets on differential forms;Letters in Mathematical Physics;2021-03-25

3. Minimal models of quantum homotopy Lie algebras via the BV-formalism;Journal of Mathematical Physics;2018-06

4. “Nonlinear pullbacks” of functions and L∞-morphisms for homotopy Poisson structures;Journal of Geometry and Physics;2017-01

5. On gauge independence for gauge models with soft breaking of BRST symmetry;International Journal of Modern Physics A;2014-12-08