Fermionic reductions of the AdS4 x CP3 superstring

TL;DR

This paper explores fermionic reductions of the AdS4 x CP3 superstring, revealing integrable models and symmetries, and finds a reduction identical to the well-studied AdS5 x S5 case, advancing understanding of AdS4/CFT3 duality.

Contribution

It provides a detailed analysis of fermionic reductions and symmetries in AdS4 x CP3 superstring theory, including a novel reduction matching the AdS5 x S5 case.

Findings

Identified a fermionic reduction with quadratic fermionic action.

Demonstrated the classical integrability of the superstring model.

Found a reduction identical to the AdS5 x S5 case.

Abstract

We discuss fermionic reductions of type IIA superstrings on AdS4 x CP3 in relation to the conjectured AdS4/CFT3 duality. The superstring theory is described by means of a coset model construction, which is classically integrable. We discuss the global light-cone symmetries of the action and related kappa-symmetry gauge choices, and also present the complete quartic action in covariant form with respect to these. Further, we study integrable (fermionic) reductions, in particular, a reduction yielding a quadratic action of two complex fermions on the string world-sheet. Interestingly, this model appears to be exactly the same as the corresponding integrable reduction found in the AdS5 x S5 case.