AdS4×CP3AdS4×CP3 superstring in the light-cone gauge

The Type IIA superstring action on the AdS4×CP3AdS4×CP3 background, obtainable by the double dimensional reduction of the AdS4×S7AdS4×S7 supermembrane, is considered in the κ  -symmetry light-cone gauge, in which the light-like directions are chosen on the D=3D=3 Minkowski boundary of AdS4AdS4. Such choice of the gauge condition relies on representing the AdS4×S7AdS4×S7 background isometry superalgebra osp(4|8)osp(4|8) (and correspondingly the osp(4|6)osp(4|6) isometry superalgebra of the AdS4×CP3AdS4×CP3 background) as D=3D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions.