Polyakov construction of the N=2 super-W3 algebra

Using Polyakov's 'soldering' procedure, applied to the supergroup SL(nvertical stroken-1), we show how one may obtain an N = 2 supersymmetrisation of the Wn extended conformal algebras, at the classical level. These algebras differ from previously-constructed superextensions in that there are no restrictions on the value of the central charge. The generators comprise one with conformal spin 1, one with conformal spin n, and two for each integer and half-integer spin between 3/2 and n-1/2 inclusively. We give the explicit results for the n = 3 case. These N = 2 superalgebras can be 'twisted', and we give explicit results for n = 3. (orig.)