Geodesic
Geometry of the superconformal moduli space
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 2, pp. 241-252 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1989},
     volume = {79},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a7/}
}
TY  - JOUR
AU  - M. A. Baranov
AU  - I. V. Frolov
AU  - A. S. Schwarz
TI  - Geometry of the superconformal moduli space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 241
EP  - 252
VL  - 79
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a7/
LA  - ru
ID  - TMF_1989_79_2_a7
ER  - 
%0 Journal Article
%A M. A. Baranov
%A I. V. Frolov
%A A. S. Schwarz
%T Geometry of the superconformal moduli space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 241-252
%V 79
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1989_79_2_a7/
%G ru
%F TMF_1989_79_2_a7
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/

[1] Polyakov A. M., Phys. Lett., 103B:2 (1981), 207–211 ; 211–214 | DOI | MR | MR

[2] Alvarez O., Nucl. Phys., B216:1 (1983), 125–184 | DOI | MR

[3] Baranov M. A., Shvarts A. S., Pisma v ZhETF, 42:8 (1985), 340–342 | MR

[4] Baranov M. A., Frolov I. V., Shvarts A. S., TMF, 70:1 (1987), 92–103 | MR | Zbl

[5] Baranov M. A., Manin Yu. I., Frolov I. V., Shvarts A. S., YaF, 43:4 (1986), 1053–1056 | MR

[6] Baranov M. A., Manin Yu. I., Frolov I. V., Schwarz A. S., Commun. Math. Phys., 111 (1987), 373–392 | DOI | MR | Zbl

[7] Fuks D. B., Kogomologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR

[8] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960 | MR

[9] Shimura G., Vvedenie v arifmeticheskuyu teoriyu avtomorfnykh funktsii, Mir, M., 1973 | MR | Zbl

[10] Goldman W. M., Adv. in Math., 54 (1984), 200–225 | DOI | MR | Zbl

[11] Atiyah M., Bott R., Philos. Trans. Roy. Soc. London, A308 (1982), 523–615 | MR

[12] Voronov A. A., Bosly A. A., Schwarz A. S., Commun. Math. Phys., 119 (1988), 129–152 | DOI | MR | Zbl

[13] Griffits F., Kharris Dzh., Printsipy algebraicheskoi geometrii, Mir, M., 1982 | MR