Geodesic
Effective action and superconformal anomalies of $(p, p)$ $\sigma$ models in $(1, 1)$ superspace
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 75-82 
I. L. Buchbinder; S. M. Kuzenko; O. A. Solov'ev. Effective action and superconformal anomalies of $(p, p)$ $\sigma$ models in $(1, 1)$ superspace. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 75-82. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a8/
@article{TMF_1990_82_1_a8,
     author = {I. L. Buchbinder and S. M. Kuzenko and O. A. Solov'ev},
     title = {Effective action and superconformal anomalies of~$(p, p)$~$\sigma$~models in~$(1, 1)$~superspace},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {75--82},
     year = {1990},
     volume = {82},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A description of $(p,p)$-extended locally supersymmetric $\sigma$ models is given in terms of $(1,1)$ superfields. It is shown that to models with extended supersymmetry there correspond two types of scalar superfields (ordinary and twisted). The effective action of the $(p,p)$ $\sigma$ models is constructed, and conditions under which the theory is free of superconformal anomalies are found.

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