The isomorphism between two-dimensional conformal field theories with the affine-$sl(2)$ and the $N=2$ superconformal symmetry algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 29-45

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We discuss the one-to-one correspondence between two-dimensional conformal field theories with the affine-$sl(2)$ and the $N=2$ superconformal symmetry algebras. We obtain the formulas relating zero-norm states in the two theories and the formulas expressing the partition function of the affine-$sl(2)$ theory through the partition function of the theory with the $N=2$ superconformal symmetry algebra, and vice versa.
@article{TMF_1998_115_1_a1,
     author = {I. Yu. Tipunin},
     title = {The isomorphism between two-dimensional conformal field theories with the affine-$sl(2)$ and the $N=2$ superconformal symmetry algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {29--45},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a1/}
}
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I. Yu. Tipunin. The isomorphism between two-dimensional conformal field theories with the affine-$sl(2)$ and the $N=2$ superconformal symmetry algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 29-45. http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a1/