Strange reality: Ashtekar's variables with variations

I give a very brief review of Ashtekar's variables, with an emphasis on the non-trivial reality condition. As a toy model a formulation of spin 1/2 fields is presented, in which the Dirac equation appears as a reality condition. Then, some new ways to modify complex general relativity are mentioned. It is not known whether the new theories admit any reality condition at all.Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 2, pp. 211–213, May, 1993.