Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k

Abstract

We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk of Euclidean AdS_4 that match with some boundary ${\Delta }_{+}$=3 operators. Indeed, the main objects are instantons and domain walls as the fully and partially localized objects in the external space, respectively. The latter comes from an (anti)M5-brane wrapping partly around three internal directions similar to the fuzzy S^3/Z_k solutions. Except for the first solutions of adding some anti-M2-branes$\mid$(M2-branes) to the original M2-branes, the objects backreact on the geometry although small$\mid$(break all supersymmetries and destabilize the vacua). The dual 3-dimensional field theory solutions are got by the skew-whiffing 8_s $\to$ 8_v and 8_s $\to$ 8_c for the scalars and pseudoscalars respectively, while the gauge fields are used mainly for the k=1,2 cases where the R-symmetry and supersymmetry are enhanced as SU(4) x U(1) $\to$ SO(8) and N=6 $\to$ N=8 respectively, and also for pseudoscalars. Further, for the pseudoscalars we propose a special boundary deformation, with a fermion field, that is equivalent to a multi-trace deformation already studied for the bulk m^2=-2 conformally coupled pseudoscalar.

20 pages, than the v2 version: minor changes, some discussions improved, references added and typos fixed

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Cited by in corpus (6)

• Non-Minimally Coupled Pseudoscalars in AdS_4 for Instantons in CFT_3
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Massive (pesudo)Scalars in AdS${}_4$, SO(4) Invariant Solutions and Holography
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• A Truncation of 11-Dimensional Supergravity for Fubini-Like Instantons in AdS_4/CFT_3
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3