A Note on Semidensities in Antisymplectic Geometry
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Physics |
| MU Faculty or unit | |
| 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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