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

2008

167 citations recorded by the source corpus.

We examine the string dual of the recently constructed N=6 superconformal Chern–Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). We focus in particular on the SU(2)×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)×SU(2) sector. Finally, we find a new Giant Magnon solution in the SU(2)×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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f8bd20d21444c13ce897fbd5c05e1212aeb923af

Citations in the corpus

• Towards integrability for AdS 3 / CFT 2 ?> (2014, unknown): “Semi-classical integrability was found in terms of giant magnons [144, 149–152] and of an algebraic-curve description [153], and an all-loop S-matrix was proposed [154] by postulating the symmetry that then emerged from the off-shell analysis of the gauge-fixed theory [155].”
• N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations (2008, unknown): “these operators create corresponding asymptotic particle states of momentum p and energy E given by [7, 10, 11 ]”
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, unknown): “One crucial change compared to the AdS/CFT4 case is that now the BMN or magnon dispersion relation is no longer protected and receives nontrivial corrections both in the weak and strong coupling expansions [6, 7] (see also [8, 9, 10]).”
• Integrable spin chain in superconformal Chern-Simons theory (2008, unknown): “We solve Bethe ansatz equations for small number of excitations, and find indications of correlation between excitations of4’s and4’s and of nonexistence of mesonic(44) bound-state.”
• Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, unknown): “2 We also point out [ 6 ], where the Penrose limit, the Landau-Lifshitz limit, the dispersion relation and giant magnon solutions both in infinite and finite volume have been studied for the AdS4 × CP 3 sigma”
• Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, unknown): “To test this poss ibility, consider the interpolating function f (λ) introduced in the context of the giant magnon spectra [30, 35 , 36].”