Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Classical Bulk-Boundary Correspondence   In this article, we use the language of $\mathbb{P}_0$-factorization algebras
to articulate a classical bulk-boundary correspondence between 1) the
observables of a Poisson Batalin-Vilkovisky (BV) theory on a manifold $N$ and
2) the observables of the associated universal bulk-boundary system on $N\times
\mathbb{R}_{\geq 0}$. The archetypal such example is the Poisson BV theory on
$\mathbb{R}$ encoding the algebra of functions on a Poisson manifold, whose
associated bulk-boundary system on the upper half-plane is the Poisson sigma
model. In this way, we obtain a generalization and partial justification of the
basic insight that led Kontsevich to his deformation quantization of Poisson
manifolds. The proof of these results relies significantly on the operadic
homotopy theory of $\mathbb{P}_0$-algebras.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cs