Cryptoreality of nonanticommutative Hamiltonians

@article{Ivanov2007CryptorealityON,
  title={Cryptoreality of nonanticommutative Hamiltonians},
  author={Evgeny Ivanov and Andrei V. Smilga},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={036-036}
}
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 → eRHe−R with a properly chosen R. The deformed model enjoys the same supersymmetry algebra as the undeformed one, though being… 
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