Near Flat Space limit of strings on AdS_4 x CP^3

TL;DR

This paper explores the near flat space limit of string theory on the AdS_4 x CP^3 background, aiming to simplify the complex non-linear equations and connect different string sectors within the AdS_4/CFT_3 duality.

Contribution

It extends the near flat space limit analysis to the AdS_4 x CP^3 background, providing insights into simplified string dynamics in this duality context.

Findings

Derived the near flat space limit equations for AdS_4 x CP^3

Discussed potential applications of the reduced theory in AdS_4/CFT_3

Connected different string sectors via the near flat space approximation

Abstract

The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspondence suggests to look for simplifications. Two such simplifications proved to be useful in studying string theory. These are the pp-wave limit which describes point-like strings and the so called "near flat space" limit which connects two different sectors of string theory -- pp-waves and "giant magnons". Recently another example of AdS/CFT duality emerged - $AdS_4/CFT_3$, which suggests duality between $\mathcal N=6$ CS theory and superstring theory on $AdS_4\times \cp$. In this paper we study the "near flat space" limit of strings on the $AdS_4\times \cp$ background and discuss possible applications of the reduced theory.