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

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

2008-06-30

arxiv.org/abs/0806.4959v4

Nucl.Phys.B810:115-134,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages.: Typos fixed, Sec. 6 improved

Scientific paper

10.1016/j.nuclphysb.2008.10.019

We examine the string dual of the recently constructed $\CN=6$ 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.

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