Type IIB Green-Schwarz superstrings in AdS(5) x S-5 from the supercoset approach

We consider superstrings moving in the AdS(5) x S-5 space-time and find the ir Green-Schwarz action using the supercoset approach based on the supergro up PSU(2, 2\4). We describe several parametrizations of the relevant superc oset and present the action in different kappa -symmetry gauges. In particu lar, we discuss a gauge where all the fermionic coordinates corresponding t o the conformal (S) supercharges are gauged away and also a light-cone type gauge where half of the Q and S supercoordinates are gauged away. The resu lting action contains terms that are quadratic and quartic in fermions. In the flat-space limit, it reduces to the standard light-cone Green-Schwarz a ction. We comment on the possibility of fixing the bosonic light-cone gauge and of reformulating the action in terms of two-dimensional Dirac spinors. (C) 2000 MAIK "Nauka/Interperiodica".