Semi-classical strings in AdS_4*CP^3

TL;DR

This work analyzes semiclassical string configurations in $AdS_4\times CP^3$, focusing on spinning strings in $CP^3$ and their dual operators in ABJM's $SU(2)\times SU(2)$ subsector. It derives explicit energy–angular momentum relations for point-like, circular, folded, and pulsating strings, some of which map to concrete gauge-theory operators via the $SU(2)\times SU(2)$ spin-chain Bethe Ansatz, while others remain nontrivial due to partial understanding of the duals. A central finding is that string and field-theory results agree in the large-$J$ limit up to an interpolating function $f(\lambda)$ that connects weak and strong coupling, supporting integrability in $AdS_4/CFT_3$. The paper thus extends the GKP-type semiclassical analysis to ABJM, highlighting the role of integrable structures and providing a framework for matching higher-spin string states with gauge-theory operators.

Abstract

In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime. We construct various kinds of string solutions, including the point-like, circular, folded and pulsating strings. For the circular and folded strings, we figure out their field theory dual operators. In particular, we discuss the anomalous dimensions of the corresponding operators from decoupled SU(2)*SU(2) spin chain. We find that in the large angular momentum limit, the field theory and string theory results are in very good agreement up to an interpolating function of coupling constant.