A Lie Group Structure Underlying the Triplectic Geometry
High Energy Physics - Theory
2009-10-31 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We consider the pair of degenerate compatible antibrackets satisfying a generalization of the axioms imposed in the triplectic quantization of gauge theories. We show that this actually encodes a Lie group structure, with the antibrackets being related to the left- and right- invariant vector fields on the group. The standard triplectic quantization axioms then correspond to Abelian groups.
Cite
@article{arxiv.hep-th/9901046,
title = {A Lie Group Structure Underlying the Triplectic Geometry},
author = {M A Grigoriev},
journal= {arXiv preprint arXiv:hep-th/9901046},
year = {2009}
}
Comments
LaTeX 2.09, 8pp., minor corrections