A Star Product for Differential Forms on Symplectic Manifolds

Details A Star Product for Differential Forms on Symplectic Manifolds A Star Product for Differential Forms on Symplectic Manifolds

2008-09-26

arxiv.org/abs/0809.4717v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures, revtex4. Section included on changing coordinates, slight change in notation, and S. McCurdy and B. Zumi

Scientific paper

We present a star product between differential forms to second order in the deformation parameter $\hbar$. The star product obtained is consistent with a graded differential Poisson algebra structure on a symplectic manifold. The form of the graded differential Poisson algebra requires the introduction of a connection with torsion on the manifold, and places various constraints upon it. The star product is given to second order in $\hbar^2$.

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