Three-dimensional N=6 SCFT's and their membrane dynamics

By D. Berenstein, Diego Trancanelli. 2008

152 citations recorded by the source corpus.

We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be extracted from the analysis of the field theory. We revisit the calculations of the moduli space of vacua and the complete characterization of chiral ring operators by analyzing the field theory compactified on a 2-sphere. We show that many of the states dual to these operators can be interpreted as D-brane states in the weak coupling limit. Also, various features of the dual AdS geometry can be obtained by performing a strong coupling expansion around moduli space configurations, even though one is not taking the planar expansion. In particular, we show that at strong coupling the corresponding weak coupling D-brane states of the chiral ring localize on particular submanifolds of the dual geometry that match the M-theory interpretation. We also study the massive spectrum of fields in the moduli space. We use this to investigate the dispersion relation of giant magnons from the field theory point of view. Our analysis predicts the exact functional form of the dispersion relation as a function of the world-sheet momentum, independently of integrability assumptions, but not the exact form with respect to the ’t Hooft coupling. We also get the dispersion relation of bound states of giant magnons from first principles, providing evidence for the full integrability of the corresponding spin chain model at strong ’t Hooft coupling.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/89e8cf3b6901d0a53fb7bb5e9f6a3bea88bbd35b

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Citations in the corpus

Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “This can be done using the classical integrability properties the we 2Recall, for example, that in AdS5/CFT4 h ∼ √ λ it is while in AdS4/CFT3 it is h ∼ λ. 3In the case of AdS5/CFT4, for instance, there exist a crossing-symmetric phase that reproduces the leading large-h behaviour, but fails to match”
Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, background): “3, we first recall the argument of [12, 13, 14, 15, 16] relating three-dime nsional super Yang-Mills theory and 1See [11] for an earlier discussion on Wilson loops in ABJM the ory.”
The complete superconformal index for N=6 Chern–Simons theory (2009, methodology): “2 Two KK-momenta: analytic and numerical tests Monopole operators which have been studied in the context of N =6 Chern-Simons theory are in the conjugate representations of the two U(N) gauge groups, such as (Sym(N̄),Sym(N)) in the previous subsection or more general examples studied in [26, 27].”
Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “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, 11]).”