Abstract
We show that the unitary discrete series of N=2 superconformal field theories and the SU (2) Wess-Zumino-Witten model belong to the same continuous one-parameter family of conformal systems. Related fixed line structures are briefly discussed. We find that the Witten index of the N=2 discrete series equals the rank of simply laced Lie algebras labeling the modular invariant partition functions on a torus.
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