Geodesic
Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 385-394 
A. Taormina. Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 385-394. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a19/
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     author = {A. Taormina},
     title = {Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a19/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The representation theory of the doubly extended $N=4$ superconformal algebra is reviewed. The modular properties of the corresponding characters can be derived, using characters sumrules for coset realizations of these $N=4$ algebras. Some particular combinations of massless characters are shown to transform as affine $SU(2)$ characters under $S$ and $T$, a fact used to completely classify the massless sector of the partition function.

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