Geodesic
Local supertwistors and $N=2$ conformal supergravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 253-262

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$N=2$ super symmetric extension of the local twistor theory is formulated. A supertwistor superconnection determined by the superconformal structure of the base superspace is introduced on the bundle of $N=2$ local supertwistors. It is proved that the Yang–Mills equations for this superconnection coincide exactly with the Bach equations describing the dynamics of $N=2$ conformal supergravity. 
@article{TMF_1989_79_2_a8,
     author = {S. A. Merkulov},
     title = {Local supertwistors and $N=2$ conformal supergravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {253--262},
     publisher = {mathdoc},
     volume = {79},
     number = {2},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a8/}
}
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S. A. Merkulov. Local supertwistors and $N=2$ conformal supergravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 253-262. http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a8/