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arXiv · 0806.4959

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

Gianluca Grignani·Troels Harmark·Marta Orselli
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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.

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Gianluca Grignani, Troels Harmark, Marta Orselli. 2008-07-17. The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory. https://doi.org/10.1016/j.nuclphysb.2008.10.019

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