PT-symmetry, ghosts, supersymmetry and Klein-Gordon equation

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Parallels between the concepts of symmetry, supersymmetry and (recently introduced) PT-symmetry are reviewed and discussed, with particular emphasis on the new insight in quantum theory which is rendered possible by their combined use.
Summary of the invited talk presented to the XI-th International Conference "Symmetry Methods in Physics" (June 21-24, 2004, Prague, Czech Republic, URL http://thsun1.jinr.ru/meetings/2004/) Submitted to proceedings

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