AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry

TL;DR

This paper explores the superstring theory on the AdS_4 x CP^3 background, focusing on the superconformal symmetry and the relation between fermionic equation degeneracy and kappa-invariance.

Contribution

It establishes a connection between the osp(4|6) superalgebra and D=3 N=6 superconformal algebra, analyzing the superstring action and symmetry properties.

Findings

Superstring action parametrized by super-Poincare and CP^3 coordinates.

Relation between fermionic equation degeneracy and kappa-invariance.

Insights into superconformal symmetry in AdS_4 x CP^3 background.

Abstract

Motivated by the isomorphism between osp(4|6) superalgebra and D=3 N=6 superconformal algebra we consider the superstring action on the AdS_4 x CP^3 background parametrized by D=3 N=6 super-Poincare and CP^3 coordinates supplemented by the coordinates corresponoding to dilatation and superconformal generators. It is also discussed the relation between the degeneracy of fermionic equations of motion and the action kappa-invariance in the framework of the supercoset approach.