Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: W(E_10) Symmetry, M-Theory and Painleve Equations   The Weyl group symmetry W(E_k) is studied from the points of view of the
E-strings, Painleve equations and U-duality. We give a simple reformulation of
the elliptic Painleve equation in such a way that the hidden symmetry W(E_10)
is manifestly realized. This reformulation is based on the birational geometry
of the del Pezzo surface and closely related to Seiberg-Witten curves
describing the E-strings. The relation of the W(E_k) symmetry to the duality of
M-theory on a torus is discussed on the level of string equations of motion.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga