A comparison of definitions for the Schouten bracket on jet spaces
Differential Geometry
2013-12-17 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Schouten bracket (or antibracket) plays a central role in the Poisson formalism and the Batalin-Vilkovisky quantization of gauge systems. There are several (in)equivalent ways to realize this concept on jet spaces. In this paper, we compare the definitions, examining in what ways they agree or disagree and how they relate to the case of usual manifolds.
Keywords
Cite
@article{arxiv.1208.6196,
title = {A comparison of definitions for the Schouten bracket on jet spaces},
author = {Arthemy V. Kiselev and Sietse Ringers},
journal= {arXiv preprint arXiv:1208.6196},
year = {2013}
}
Comments
Proc. 6th int. workshop 'Group Analysis of Differential Equations and Integrable Systems' (Protaras, Cyprus, 2012), 15 pages