D-E classification of the local extensions of $SU_2$ current algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 507-521
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A method is developed for constructing single valued rational 4-point functions of primary fields for $su_2$ conformal current algebra satisfying the Knizhnik–Zamolodchikov equation. For integer conformal dimensions $\Delta$ these rational solutions are proven to be in one-to-one correspondence with non-diagonal modular invariant partition functions of the D-even and
E-even series of the ADE classification.
@article{TMF_1992_92_3_a12,
author = {L. Michel and Ya. S. Stanev and I. T. Todorov},
title = {D-E classification of the local extensions of $SU_2$ current algebras},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {507--521},
publisher = {mathdoc},
volume = {92},
number = {3},
year = {1992},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a12/}
}
TY - JOUR AU - L. Michel AU - Ya. S. Stanev AU - I. T. Todorov TI - D-E classification of the local extensions of $SU_2$ current algebras JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 507 EP - 521 VL - 92 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a12/ LA - en ID - TMF_1992_92_3_a12 ER -
%0 Journal Article %A L. Michel %A Ya. S. Stanev %A I. T. Todorov %T D-E classification of the local extensions of $SU_2$ current algebras %J Teoretičeskaâ i matematičeskaâ fizika %D 1992 %P 507-521 %V 92 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a12/ %G en %F TMF_1992_92_3_a12
L. Michel; Ya. S. Stanev; I. T. Todorov. D-E classification of the local extensions of $SU_2$ current algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 507-521. http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a12/