  We note that, though nonanticommutative (NAC) deformations of Minkowski
supersymmetric theories do not respect the reality condition and seem to lead
to non-Hermitian Hamiltonians H, the latter belong to the class of
``cryptoreal'' Hamiltonians considered recently by Bender and collaborators.
They can be made manifestly Hermitian via the similarity transformation H ->
exp{R} H exp{-R} with a properly chosen R. The deformed model enjoys the same
supersymmetry algebra as the undeformed one, though being realized differently
on the involved canonical variables. Besides quantum-mechanical models, we
treat, along similar lines, some NAC deformed field models in 4D Minkowski
space.
