Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal nets III: fusion of defects   Conformal nets provides a mathematical model for conformal field theory. We
define a notion of defect between conformal nets, formalizing the idea of an
interaction between two conformal field theories. We introduce an operation of
fusion of defects, and prove that the fusion of two defects is again a defect,
provided the fusion occurs over a conformal net of finite index. There is a
notion of sector (or bimodule) between two defects, and operations of
horizontal and vertical fusion of such sectors. Our most difficult technical
result is that the horizontal fusion of the vacuum sectors of two defects is
isomorphic to the vacuum sector of the fused defect. Equipped with this
isomorphism, we construct the basic interchange isomorphism between the
horizontal fusion of two vertical fusions and the vertical fusion of two
horizontal fusions of sectors.

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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs