Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BF Theories and 2-knots   We discuss the relations between (topological) quantum field theories in 4
dimensions and the theory of 2-knots (embedded 2-spheres in a 4-manifold). The
so-called BF theories allow the construction of quantum operators whose trace
can be considered as the higher-dimensional generalization of Wilson lines for
knots in 3-dimensions. First-order perturbative calculations lead to higher
dimensional linking numbers, and it is possible to establish a heuristic
relation between BF theories and Alexander invariants. Functional
integration-by-parts techniques allow the recovery of an infinitesimal version
of the Zamolodchikov tetrahedron equation, in the form considered by Carter and
Saito.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
2
The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
14
The categories of this paper are: math-ph