I recently learned the following two things, and I wish to know how to make them reconciled.
(1) As far as I understand, the flag manifolds serve as a tractable class of examples for the very difficult area of mirror symmetry.
(2) There exists a generalization of the definition of flag manifolds to flag supermanifolds for Lie supergroups.
Question: Does mirror symmetry for the flag manifolds extend to the super setting.