Off-shell symmetry algebra of the AdS_4 x CP^3 superstring

TL;DR

This paper derives the off-shell symmetry algebra for the AdS_4 x CP^3 superstring, showing it matches the AdS_5 x S^5 case, and discusses gauge choices preserving bosonic symmetries.

Contribution

It provides a direct classical calculation of the symmetry algebra's central extension for AdS_4 x CP^3, extending understanding of superstring symmetries.

Findings

The off-shell symmetry algebra's central extension matches the AdS_5 x S^5 case.

A gauge choice for kappa-symmetry that preserves bosonic symmetries is proposed.

The classical derivation confirms the algebra's structure without quantum corrections.

Abstract

By direct calculation in classical theory we derive the central extension of the off-shell symmetry algebra for the string propagating in AdS_4 x CP^3. It turns out to be the same as in the case of the AdS_5 x S^5 string. We also elaborate on the kappa-symmetry gauge and explain, how it can be chosen in a way which does not break bosonic symmetries.