Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hedgehog Bases for A_n Cluster Polylogarithms and An Application to
  Six-Point Amplitudes   Multi-loop scattering amplitudes in N=4 Yang-Mills theory possess cluster
algebra structure. In order to develop a computational framework which exploits
this connection, we show how to construct bases of Goncharov polylogarithm
functions, at any weight, whose symbol alphabet consists of cluster coordinates
on the $A_n$ cluster algebra. Using such a basis we present a new expression
for the 2-loop 6-particle NMHV amplitude which makes some of its cluster
structure manifest.

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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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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: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph