Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations   We propose a Lie-theoretic definition of the tt*-Toda equations for any
complex simple Lie algebra $\mathfrak{g}$, based on the concept of
topological-antitopological fusion which was introduced by Cecotti and Vafa.
Our main result concerns the Stokes data of a certain meromorphic connection,
whose isomonodromic deformations are controlled by these equations. Exploiting
a framework introduced by Boalch, we show that this data has a remarkable
structure, which can be described using Kostant's theory of Cartan subalgebras
in apposition and Steinberg's theory of conjugacy classes of regular elements.
A by-product of this is a convenient visualization of the orbit structure of
the roots under the action of a Coxeter element. As an application, we compute
canonical Stokes data of certain solutions of the tt*-Toda equations in terms
of their asymptotics.

24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph