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Starting from 11-dimensional supergravity over AdS_4×CP^3⋉S^1/Z_k and adding a new 4-form field-strength, we get a consistent Kaluza-Klein reduction. In fact, the resulting SU(4)×U(1)-singlet (pseudo)scalars in the 4-dimensional Euclidean anti-de Sitter space arise from probe (anti)M-branes wrapped around directions of the internal space, in the (Wick-rotated) skew-whiffed background; and the resulting anti-M2-branes theory breaks all supersymmetries and parity of the original theory. In addition, the bulk (scalar) equations and solutions break the scale-invariance. Taking the backreaction on the external and internal spaces, the resulting equations correspond to exactly marginal (Δ_+=3) and marginally irrelevant boundary operators. Presenting exact solutions for the equation when taking the backreaction and solving the main bulk equation in probe approximation for the massless (m^2=0) and a massive (m^2=40) mode with math methods and especially the Adomian decomposition method, we get perturbative solutions appropriate for near the boundary analyzes. Such solutions have at least the SO(4) symmetry and present instantons responsible for tunnelling among almost degenerate vacua of the Higgs-like scalar potential or true-vacuum bubbles growing from the false vacuum in the form of bounce solutions. To realize the bulk symmetries and in particular supersymmetry breaking, we swap the three fundamental representations of SO(8) for gravitino and as a result, we realize the desired singlet (pseudo)scalars in the spectrum. As the same way, by focusing on the U(1)×U(1)  part of the original quiver gauge group of the 3-dimensional boundary Chern-Simons-matter (ABJM) theory, taking just a single boundary scalar and a single fermion, introducing various marginal and irrelevant (Δ_+=8) boundary operators and deforming the boundary action with them, we finally arrive at exact solutions with finite actions which are in fact small instantons on a three-sphere at infinity. In addition, using the AdS_4/CFT_3 duality rules, we confirm the state-operator correspondence in the leading order and match elements of the bulk and boundary solutions.
 

Keywords: 11-Dimensional supergravity, Consistent truncation, (pseudo)Scalars in AdS_4 space, Adomian decomposition method, AdS_4/CFT_3 correspondence, Dual boundary operators, Instantons.

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