Odd Scalar Curvature in Anti-Poisson Geometry
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Physics Letters B |
| MU Faculty or unit | |
| Citation | |
| Web | http://arxiv.org/abs/0712.3699 |
| Doi | http://dx.doi.org/10.1016/j.physletb.2008.03.066 |
| Field | Theoretical physics |
| Keywords | BV Field-Antifield Formalism; Odd Laplacian; Anti-Poisson Geometry;Semidensity; Connection; Odd Scalar Curvature. |
| Description | 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 \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} 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 \rho. 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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