The \(SU(2)\times SU(2)\) sector in the string dual of \({\mathcal N}=6\) superconformal Chern-Simons theory. (English) Zbl 1192.81269
Summary: 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
Keywords:
Aharony, Bergman, Jafferis, Maldacena (ABJM) theory; sigma-model limit; Giant Magnon solutionReferences:
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