Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit

Understand

We find the full interacting Lagrangian and Hamiltonian for quantum strings in a near plane wave limit of AdS_4 x CP^3.

• The leading curvature corrections give rise to cubic and quartic terms in the Lagrangian and Hamiltonian that we compute in full.
• The Lagrangian is found as the type IIA Green-Schwarz superstring in the light-cone gauge employing a superspace construction with 32 grassmann-odd coordinates.
• The light-cone gauge for the fermions is non-trivial since it should commute with the supersymmetry condition.