The tt*-Toda equations of A type
Journal
Advances in Mathematics
Journal Volume
485
Start Page
110730
ISSN
0001-8708
Date Issued
2026-02
Author(s)
Abstract
The purpose of this article is to answer comprehensively, with self-contained proofs, a longstanding question posed by the physicists Cecotti and Vafa in the 1990's concerning solutions of the topological-antitopological fusion equations of Toda type, the An tt*-Toda equations. These equations are also of interest in differential geometry and the theory of integrable systems as a certain real form of the radial Toda equations. We describe the complete set of solutions explicitly in terms of their asymptotics, and in terms of their Stokes data. In view of the wide-ranging nature of our methods, we also provide explanatory remarks intended to make the article accessible to researchers in different areas.
Publisher
Elsevier BV
Type
journal article