Kavli Affiliate: Todor Milanov
| First 5 Authors: Jipeng Cheng, Todor Milanov, , ,
| Summary:
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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