A representation of a higher spin N=2 conformal algebra

The free field representations of the nonlinear N = 2 W-infinity algebra is shown to exist. It is found that the bosonic sector possesses (W) over cap (1+infinity) circle plus (W) over cap (infinity) structure. But in terms o f the free fields, both types of the bosonic generators are required to be represented as suitable combinations of bosons and fermions, unlike the lin ear representation of the N = 2 W-infinity algebra. In the fermionic sector , both the fermions possess exponential type representations in the free fi elds, in general. (C) 2001 Published by Elsevier Science B.V.