Abstract
The paper deals with affine 2-dimensional Toda field theories related to simple Lie algebras of the classical series D r . We demonstrate that the complexification procedure followed by a restriction to a specified real Hamiltonian form commutes with the external automorphisms of 𝔤. This is illustrated on the examples Dr+1(1)→Br(1) and D4(1)→G2(1) using external automorphisms of the corresponding extended Dynkin diagrams.
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