A NOTE ON THE SUPERSYMMETRIC COSET CONSTRUCTION

The explicit N = 1 supersymmetric coset construction of N = 2 superconformal models due to Kazama and Suzuki can be formulated in terms of free N = 1 superfields using an appropriate superfield version of the Wakimoto bosonization of semi-simple Lie algebras. I study the simplest example, the super-SL(2)/U(1), which yields a presentation for N = 2 minimal models in terms of two N = 2 superfields (with a quadratic super energy-momentum tensor). The U(1) supercurrent needed to enhance the supersymmetry from N = 1 to N = 2 follows naturally from the super SL(2) current algebra. © 1990.