A note about fermionic equations of AdS_4 x CP^3 superstring

TL;DR

This paper demonstrates that the fermionic equations derived from the AdS_4 x CP^3 superstring action are encompassed within the fermionic equations of the OSp(4|6)/(SO(1,3) x U(3)) sigma-model, clarifying their relationship.

Contribution

It shows that the fermionic equations of the superstring in AdS_4 x CP^3 are contained in the sigma-model equations after gauging away certain fermions.

Findings

Fermionic equations are contained in sigma-model equations.

Gauging away 8 fermions simplifies the analysis.

Clarifies the relationship between superstring and sigma-model equations.

Abstract

It is proved that when 8 fermions associated with the supersymmetries broken by the AdS_4 x CP^3 superbackground are gauged away by using the kappa-symmetry corresponding equations obtained by variation of the AdS_4 x CP^3 superstring action are contained in the set of fermionic equations of the OSp(4|6)/(SO(1,3) x U(3)) sigma-model.