AdS_4 x CP^3 superstring in the light-cone gauge

TL;DR

This paper derives the light-cone gauge-fixed superstring action on the AdS_4 x CP^3 background, revealing its structure up to quartic fermion terms, based on superalgebra representations.

Contribution

It provides the explicit form of the superstring action in light-cone gauge on AdS_4 x CP^3, utilizing superalgebra representations and including fermionic contributions up to fourth order.

Findings

Derived the light-cone gauge superstring action on AdS_4 x CP^3.

Expressed the background's isometry superalgebra as a superconformal algebra.

Included fermionic terms up to quartic order in the action.

Abstract

The Type IIA superstring action on the AdS_4 x CP^3 background, obtainable by the double dimensional reduction of the AdS_4 x S^7 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 AdS_4. Such choice of the gauge condition relies on representing the AdS_4 x S^7 background isometry superalgebra osp(4|8) (and correspondingly the osp(4|6) isometry superalgebra of the AdS_4 x CP^3 background) as D=3 extended superconformal algebra. The gauge-fixed action includes contributions up to the 4th power in the fermions.