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.
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