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arXiv · 0712.3699

Odd Scalar Curvature in Anti-Poisson Geometry

Igor A. Batalin·Klaus Bering
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Abstract

Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure ρif a zero-order term ν_ρ is added to the Δoperator. The effects of this odd scalar term ν_ρ become relevant at two-loop order. We prove that ν_ρ is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density ρ. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.

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BibTeXRIS

Igor A. Batalin, Klaus Bering. 2008-04-11. Odd Scalar Curvature in Anti-Poisson Geometry. https://doi.org/10.1016/j.physletb.2008.03.066

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