Green-Schwarz action for Type IIA strings on $AdS_4\times CP^3$

TL;DR

This paper constructs the Green-Schwarz action for Type IIA strings on the $AdS_4\times CP^3$ background, demonstrating classical integrability via a Lax connection, which advances understanding of string dynamics in this geometry.

Contribution

It provides the explicit Green-Schwarz action for Type IIA strings on $AdS_4\times CP^3$ based on a $\Zop_4$ automorphism, highlighting classical integrability.

Findings

The action is derived from a coset with a $\Zop_4$ automorphism.

The equations of motion are shown to be integrable via a Lax connection.

The system's classical integrability is established.

Abstract

We present the Green-Schwarz action for Type IIA strings on $AdS_4\times CP^3$. The action is based on a $\Zop_4$ automorphism of the coset $OSp(4|6)/(SO(1,3)\times SU(3)\times U(1))$. The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable.