A Note on Semidensities in Antisymplectic Geometry
High Energy Physics - Theory
2015-06-26 v6 Differential Geometry
Symplectic Geometry
Abstract
We revisit Khudaverdian's geometric construction of an odd nilpotent operator \Delta_E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the \Delta_E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.
Cite
@article{arxiv.hep-th/0604117,
title = {A Note on Semidensities in Antisymplectic Geometry},
author = {K. Bering},
journal= {arXiv preprint arXiv:hep-th/0604117},
year = {2015}
}
Comments
11 pages, LaTeX. v2: Added eqs. (4.1), (6.3), (6.4) & (6.5). v3: Sec. 6 expanded and ref. added. v4: Included a proof of the main statement in the appendices. v5: Flipped the sign convention for \nu^{(2)}. v6: Stylistic changes