Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A path integral approach to the Kontsevich quantization formula   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 center of the deformed algebra in terms of the
center of the Poisson algebra.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex