Geodesic
Geometry of~the superconformal moduli space
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 241-252

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Geometry of the moduli space of superconformal manifolds is studied in the case when the underlying manifold is a compact or differs from a compact by deleting some points. In particular, it is proved that the super-analogue of the Weil–Peterson metrics is Kählerian and the corresponding measure on the superconformal moduli space is calculated. 
@article{TMF_1989_79_2_a7,
     author = {M. A. Baranov and I. V. Frolov and A. S. Schwarz},
     title = {Geometry of~the superconformal moduli space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {241--252},
     publisher = {mathdoc},
     volume = {79},
     number = {2},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a7/}
}
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M. A. Baranov; I. V. Frolov; A. S. Schwarz. Geometry of~the superconformal moduli space. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 241-252. http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a7/