A Kaehler Structure of the Triplectic Geometry
High Energy Physics - Theory
2007-05-23 v2
Abstract
We study the geometry of the triplectic quantization of gauge theories. We show that underlying the triplectic geometry is a Kaehler manifold N endowed with a pair of transversal polarizations. The antibrackets can be brought to the canonical form if and only if N admits a flat symmetric connection that is compatible with the complex structure and the polarizations.
Cite
@article{arxiv.hep-th/9807023,
title = {A Kaehler Structure of the Triplectic Geometry},
author = {M A Grigoriev and A M Semikhatov},
journal= {arXiv preprint arXiv:hep-th/9807023},
year = {2007}
}
Comments
LaTeX 2.09, 14pp, minor correction