Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BV quantization of the Rozansky-Witten model   We investigate the perturbative aspects of Rozansky-Witten's 3d
$\sigma$-model using Costello's approach to the Batalin-Vilkovisky (BV)
formalism. We show that the BV quantization (in Costello's sense) of the model,
which produces a perturbative quantum field theory, can be obtained via the
configuration space method of regularization due to Kontsevich and
Axelrod-Singer. We also study the factorization algebra structure for quantum
observables following Costello-Gwilliam. In particular, we show that the
cohomology of local quantum observables on a genus $g$ handle body is given by
$H^*(X,(\wedge^*T_X)^{\otimes g})$ (where $X$ is the target manifold), and
prove that the partition function reproduces the Rozansky-Witten invariants.

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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: eess
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph