Geodesic
$N=4$ Superconformal Algebra in Curved Space and Pseudo--Hyper--K\"ahler Geometry
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 104-115

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We construct the representation of the small $N=4$ superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo–hyper–Kähler manifold.
Mots-clés : superconformal algebra
Keywords: pseudo–hyper–Kähler geometry. 
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     author = {A. V. Galazhinsky and A. N. Myagkiy},
     title = {$N=4$ {Superconformal} {Algebra} in {Curved} {Space} and {Pseudo--Hyper--K\"ahler} {Geometry}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {138},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a8/}
}
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A. V. Galazhinsky; A. N. Myagkiy. $N=4$ Superconformal Algebra in Curved Space and Pseudo--Hyper--K\"ahler Geometry. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 104-115. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a8/