Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quivers with additive labelings: classification and algebraic entropy   We show that Zamolodchikov dynamics of a recurrent quiver has zero algebraic
entropy only if the quiver has a weakly subadditive labeling, and conjecture
the converse. By assigning a pair of generalized Cartan matrices of affine type
to each quiver with an additive labeling, we completely classify such quivers,
obtaining $40$ infinite families and $13$ exceptional quivers. This completes
the program of classifying Zamolodchikov periodic and integrable quivers.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th