A Note on Semidensities in Antisymplectic Geometry

Details A Note on Semidensities in Antisymplectic Geometry A Note on Semidensities in Antisymplectic Geometry

2006-04-17

arxiv.org/abs/hep-th/0604117v6

J.Math.Phys.47:123513,2006

Physics

High Energy Physics

High Energy Physics - Theory

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 m

Scientific paper

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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