Abstract
Fano orbifold lines are classified by the Dynkin diagrams of type A,D, and E. It is known that the corresponding total descendant potential is a tau-function of an appropriate Kac–Wakimoto hierarchy. It is also known that in the A-case the Kac–Wakimoto hierarchies admit an extension and that the total descendant potential is a tau-function of an extended Kac–Wakimoto hierarchy. The goal of this paper is to prove that in the D-case the total descendent potential is also a tau-function of an extended Kac–Wakimoto hierarchy.
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