Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stokes Polytopes and Intersection Theory   Intersection numbers of Stokes polytopes living in complex projective space
are computed using the techniques employed to find the inverse string KLT
matrix elements in terms of intersection numbers of associahedra. To do this
requires an appropriate convex realization of Stokes polytopes in
$\mathbb{CP}^{n}$ loaded with suitable generalizations of the Koba-Nielsen
factor. The procedure is carried out explicitly for the lower point cases and
the prescription for the generic higher point cases is laid out as well. The
intersection numbers are identified as scattering amplitudes corresponding to a
theory the coupling constants of which are determined entirely in terms of the
combinatorial weights of the Stokes polytopes. A parameter $\alpha'$ having
units of length is used to define the intersection numbers in a manner that
yields the amplitudes of $\phi^4$ theory to leading order when the limit of
vanishing $\alpha'$ limit is taken. Most importantly, we contrast this method
of understanding quartic vertices with previous string-theoretic attempts to
obtain quartic interaction amplitudes and highlight the advantages offered.

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The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
1
The categories of this paper are: cs
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
26
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: econ
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The categories of this paper are: funct-an
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The categories of this paper are: stat