Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-point functions in ${\cal N}=4$ SYM: the hexagon proposal at three
  loops   Basso, Komatsu and Vieira recently proposed an all-loop framework for the
computation of three-point functions of single-trace operators of ${\cal N}=4$
super-Yang-Mills, the "hexagon program". This proposal results in several
remarkable predictions, including the three-point function of two protected
operators with an unprotected one in the $SU(2)$ and $SL(2)$ sectors. Such
predictions consist of an "asymptotic" part---similar in spirit to the
asymptotic Bethe Ansatz of Beisert and Staudacher for two-point functions---as
well as additional finite-size "wrapping" L\"uscher-like corrections. The focus
of this paper is on such wrapping corrections, which we compute at three-loops
in the $SL(2)$ sector. The resulting structure constants perfectly match the
ones obtained in the literature from four-point correlators of protected
operators.

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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom