ON CONSISTENCY OF DESCRIPTION OF THE AdS4×CP3 SUPERSTRING DYNAMICS BY THE TWO-DIMENSIONAL OSp(4|6)/(SO(1,3)×U(3)) σ-MODEL

It is examined one of the aspects of consistency of description of the superstring dynamics in the AdS4×CP3 superspace by two-dimensional σ-model in the OSp(4|6)/(SO(1, 3)×U(3)) supersymmetric coset space that is the subspace of this superspace. It is proved that equations, obtained by variation of the superstring action on the coordinates of the sector of broken supersymmetries, become consequences of fermionic equations corresponding to unbroken supersymmetries, when these coordinates turn to zero and superstring moves both in the AdS4 and CP3 spaces. These relations between superstring equations represent half of the Noether identities associated with local κsymmetry of its action.