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Title: A note on semidensities in antisymplectic geometry

Abstract

We revisit Khudaverdian's geometric construction of an odd nilpotent operator {delta}{sub E} that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the {delta}{sub E} operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.

Authors:
 [1]
  1. Institute for Theoretical Physics and Astrophysics, Masaryk University, Kotlarska 2, CZ-611 37 Brno (Czech Republic)
Publication Date:
OSTI Identifier:
20861569
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Journal Issue: 12; Other Information: DOI: 10.1063/1.2352859; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; CONSTRUCTION; COORDINATES; GEOMETRY; QUANTIZATION

Citation Formats

Bering, K. A note on semidensities in antisymplectic geometry. United States: N. p., 2006. Web. doi:10.1063/1.2352859.
Bering, K. A note on semidensities in antisymplectic geometry. United States. doi:10.1063/1.2352859.
Bering, K. Fri . "A note on semidensities in antisymplectic geometry". United States. doi:10.1063/1.2352859.
@article{osti_20861569,
title = {A note on semidensities in antisymplectic geometry},
author = {Bering, K.},
abstractNote = {We revisit Khudaverdian's geometric construction of an odd nilpotent operator {delta}{sub E} that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the {delta}{sub E} operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization.},
doi = {10.1063/1.2352859},
journal = {Journal of Mathematical Physics},
number = 12,
volume = 47,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}