Superstring action in AdS5XS5:: κ-symmetry light cone gauge -: art. no. 046002

As part of a program to quantize superstrings in AdS(5) X S-5 in a light-cone gauge we find the explicit form of the corresponding Green-Schwarz action in the fermionic light-cone kappa -symmetry gauge. The resulting action contains terms quadratic and quartic in fermions. In the nat space limit it reduces to the standard light-cone GS action, while for alpha'-->0 it has the correct AdS(5) X S-5 light-cone superparticle limit. We discuss fixing the bosonic light-cone gauge and a reformulation of the action in terms of 2D Dirac spinors.