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The tt*-Toda equations of A_n type

Published 9 Feb 2023 in math.DG and hep-th | (2302.04597v2)

Abstract: In previous articles we have studied the A_n tt*-Toda equations (topological-antitopological fusion equations of Toda type) of Cecotti and Vafa, giving details mainly for n=3. Here we give a proof of the existence and uniqueness of global solutions for any n, and a new treatment of their asymptotic data, monodromy data, and Stokes data.

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