The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory

TL;DR

This paper explores the string dual of ABJM theory focusing on the SU(2) x SU(2) sector, deriving a sigma-model limit, a new Giant Magnon solution, and comparing magnon dispersion relations with weak coupling results.

Contribution

It introduces a sigma-model limit for the SU(2) x SU(2) sector, constructs a new Giant Magnon solution, and connects strong and weak coupling regimes in ABJM theory.

Findings

Sigma-model reduces to two Landau-Lifshitz models.

Discovered a new Giant Magnon solution in the sector.

Derived the full magnon dispersion relation and compared with weak coupling results.

Abstract

We examine the string dual of the recently constructed $\mathcal{N}=6$ superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). We focus in particular on the $SU(2)\times SU(2)$ sector. We find a sigma-model limit in which the resulting sigma-model is two Landau-Lifshitz models added together. We consider a Penrose limit for which we can approach the $SU(2)\times SU(2)$ sector. Finally, we find a new Giant Magnon solution in the $SU(2)\times SU(2)$ sector corresponding to one magnon in each $SU(2)$. We put these results together to find the full magnon dispersion relation and we compare this to recently found results for ABJM theory at weak coupling.