Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of populations of critical points of master functions   We consider the master functions associated with one irreducible integrable
highest weight representation of a Kac-Moody algebra. We study the generation
procedure of new critical points from a given critical point of one of these
master functions. We show that all critical points of all these master
functions can be generated from the critical point of the master function with
no variables. In particular this means that the set of all critical points of
all these master functions form a single population of critical points. We
formulate a conjecture that the number of populations of critical points of
master functions associated with a tensor product of irreducible integrable
highest weight representations of a Kac-Moody algebra are labeled by
homomorphisms to $\C$ of the Bethe algebra of the Gaudin model associated with
this tensor product.

4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th