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
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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.
@article{TMF_1993_95_2_a19,
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},
pages = {385--394},
publisher = {mathdoc},
volume = {95},
number = {2},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a19/}
}
TY - JOUR AU - A. Taormina TI - Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1993 SP - 385 EP - 394 VL - 95 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a19/ LA - ru ID - TMF_1993_95_2_a19 ER -
%0 Journal Article %A A. Taormina %T Towards a classification of modular invariant partition functions for theories based on $N=4$ superconformal algebras %J Teoretičeskaâ i matematičeskaâ fizika %D 1993 %P 385-394 %V 95 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a19/ %G ru %F TMF_1993_95_2_a19
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/