  We write the IIB Green-Schwarz action in certain general classes of curved
backgrounds threaded with Ramond-Ramond fluxes. The fixing of the kappa
symmetry in the light-cone gauge and the use of supergravity Bianchi identities
simplify the task. We find an expression that truncates to quartic order in the
spacetime spinors and relays interesting information about the vacuum structure
of the worldsheet theory. The results are particularly useful in exploring
integrable string dynamics in the context of the holographic duality.
