Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On fluxbrane polynomials for generalized Melvin-like solutions
  associated with rank 5 Lie algebras   We consider generalized Melvin-like solutions corresponding to Lie algebras
of rank $5$ ($A_5$, $B_5$, $C_5$, $D_5$). The solutions take place in
$D$-dimensional gravitational model with five Abelian 2-forms and five scalar
fields. They are governed by five moduli functions $H_s(z)$ ($s = 1,...,5$) of
squared radial coordinate $z=\rho^2$ which obey five differential master
equations. The moduli functions are polynomials of powers $(n_1, n_2, n_3, n_4,
n_5) = (5,8,9,8,5), (10,18,24,28,15), (9,16,21,24,25), (8,14,18,10,10)$ for Lie
algebras $A_5$, $B_5$, $C_5$, $D_5$ respectively. The asymptotic behaviour for
the polynomials at large distances is governed by some integer-valued $5 \times
5$ matrix $\nu$ connected in a certain way with the inverse Cartan matrix of
the Lie algebra and (in $A_5$ and $D_5$ cases) with the matrix representing a
generator of the $\mathbb{Z}_2$-group of symmetry of the Dynkin diagram. The
symmetry and duality identities for polynomials are obtained, as well as
asymptotic relations for solutions at large distances.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math