A Note on Semidensities in Antisymplectic Geometry

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Authors	BERING LARSEN Klaus
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Journal of Mathematical Physics
MU Faculty or unit	Faculty of Science
Citation
Web	http://arxiv.org/abs/hep-th/0604117
Doi	http://dx.doi.org/10.1063/1.2352859
Field	Theoretical physics
Keywords	Batalin-Vilkovisky Field-Antifield Formalism; Odd Laplacian; Antisymplectic Geometry; Semidensity; Halfdensity.
Description	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.
Related projects:	Mathematical structures and their physical applications