I will describe the construction of the complete Green-Schwarz superstring
action for a string in AdS4xCP3 and discuss issues of kappa-symmetry fixing
and the relation to the sigma model based on a supercoset. Strings in this
background are of interest since they have been conjectured to give a
holographic dual description of a three-dimensional N=6 superconformal
Chern-Simons matter theory constructed by Aharony, Bergman, Jafferis and
Maldacena.
