Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds 1

  title={Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds 1},
  author={Shannon R. McCurdy and Bruno Zumino},
After a brief description of the Z-graded differential Poisson algebra, we introduce a covariant star product for exterior differential forms and give an explicit expression for it up to second order in the deformation parameter ~, in the case of symplectic manifolds. The graded differential Poisson algebra endows the manifold with a connection, not necessarily torsion-free, and places upon the connection various constraints. 

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