Geodesic
Strange reality: Ashtekar's variables with variations
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 211-213

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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. 
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     author = {I. Bengtsson},
     title = {Strange reality: {Ashtekar's} variables with variations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {95},
     number = {2},
     year = {1993},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a4/}
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I. Bengtsson. Strange reality: Ashtekar's variables with variations. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 211-213. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a4/