Abstract
We review the construction of extended ( N = 2 and N = 4 ) superconformal algebras over triple systems and the gauged WZW models invariant under them. The N = 2 superconformal algebras (SCA) realized over Freudenthal triple systems (FTS) admit extension to “maximal” N = 4 SCA's with SU(2) × SU(2) × U(1) symmetry. A detailed study of the construction and classification of N = 2 and N = 4 SCA's over Freudenthal triple systems is given. We conclude with a study and classification of gauged WZW models with N = 4 superconformal symmetry.
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