AdS4 x CP3 superstring in the light-cone gauge

Abstract

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

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