Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3

TL;DR

This review discusses the duality and integrability of N=6 superconformal Chern-Simons theory and IIA superstring theory on AdS4xCP3, highlighting their unique features compared to N=4 SYM and AdS5xS5.

Contribution

It provides a comprehensive overview of the duality, integrability, and spectral properties of the AdS4/CFT3 correspondence, emphasizing differences from the well-studied N=4 SYM case.

Findings

Mapping of degrees of freedom to a long-range integrable spin-chain

Analysis of Bethe equations, S-matrix, and algebraic curve properties

Identification of features unique to the AdS4/CFT3 duality

Abstract

We review the duality and integrability of N=6 superconformal Chern-Simons theory in three dimensions and IIA superstring theory on the background AdS4xCP3. We introduce both of these models and describe how their degrees of freedom are mapped to excitations of a long-range integrable spin-chain. Finally, we discuss the properties of the Bethe equations, the S-matrix and the algebraic curve that are special to this correspondence and differ from the case of N=4 SYM theory and strings on AdS5xS5.