N=2 CURRENT-ALGEBRA AND COSET MODELS

The N = 2 supersymmetric extension of the Kac-Moody algebra and the corresponding Sugawara construction of the N = 2 superconformal algebra are discussed both in components and in N = 1 superspace. A formulation of the Kac-Moody algebra and Sugawara construction is given in N = 2 superspace in terms of supercurrents satisfying a non-linear chiral constraint. The operator product of two supercurrents includes terms that are non-linear in the supercurrents. The N = 2 generalization of the GKO coset construction is then given and the conditions found by Kazama and Suzuki are seen to arise from the non-linearity of the algebra. © 1990.