Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary from bulk integrability in three dimensions: 3D reflection maps
  from tetrahedron maps   We established a method for obtaining set-theoretical solutions to the 3D
reflection equation by using known ones to the Zamolodchikov tetrahedron
equation, where the former equation was proposed by Isaev and Kulish as a
boundary analog of the latter. By applying our method to Sergeev's electrical
solution and a two-component solution associated with the discrete modified KP
equation, we obtain new solutions to the 3D reflection equation. Our approach
is closely related to a relation between the transition maps of Lusztig's
parametrizations of the totally positive part of $SL_3$ and $SO_5$, which is
obtained via folding the Dynkin diagram of $A_3$ into one of $B_2$.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an