Odd Scalar Curvature in Anti-Poisson Geometry

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dc.creatorBatalin, Igor A.
dc.creatorBering, Klaus
dc.date2007-12-21
dc.date2008-04-11
dc.date.accessioned2026-07-07T11:39:37Z
dc.date.available2026-07-07T11:39:37Z
dc.descriptionRecent 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.
dc.description9 pages, LaTeX. v2: Minor changes. v3: Published version
dc.identifierhttps://arxiv.org/abs/0712.3699
dc.identifierhttp://arxiv.org/abs/0712.3699
dc.identifierPhys.Lett.B663:132-135,2008
dc.identifierdoi:10.1016/j.physletb.2008.03.066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199983
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleOdd Scalar Curvature in Anti-Poisson Geometry
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