Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring

TL;DR

This paper develops a phase-space Hamiltonian formulation for the Type IIA superstring in AdS_4 x CP^3 using light-cone gauge, simplifying the complex background to a quadratic approximation similar to flat space.

Contribution

It introduces a phase-space approach for the superstring in AdS_4 x CP^3 with a specific light-cone gauge, enabling a more tractable Hamiltonian formulation.

Findings

Hamiltonian expressed in terms of transverse variables

Quadratic approximation matches flat space superstring

Provides groundwork for further quantization and analysis

Abstract

It is developed the phase-space formulation for the Type IIA superstring on the AdS_4 x CP^3 background in the kappa-symmetry light-cone gauge for which the light-like directions are taken from the D=3 Minkowski boundary of AdS_4. After fixing bosonic light-cone gauge the superstring Hamiltonian is expressed as a function of the transverse physical variables and in the quadratic approximation corresponds to the light-cone gauge-fixed IIA superstring in flat space.