A Path Integral Approach¶to the Kontsevich Quantization Formula

@article{Cattaneo1999API,
  title={A Path Integral Approach¶to the Kontsevich Quantization Formula},
  author={A. Cattaneo and G. Felder},
  journal={Communications in Mathematical Physics},
  year={1999},
  volume={212},
  pages={591-611}
}
Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path integral of a simple topological bosonic open string theory. Its Batalin–Vilkovisky quantization yields a superconformal field theory. The associativity of the star product, and more generally the formality conjecture can then be understood by field theory methods. As an application, we compute the… Expand

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VERTEX ALGEBRAS AND QUANTUM MASTER EQUATION
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