We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m2=−2 and massive m2=+4 (pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over AdS4×S7/Zk when the internal space is a S1 Hopf fibration on CP3, and we consider backreaction. In fact, the bulk configurations associate with (anti)membranes wrapped around mixed internal (and external) directions, which in turn probe the Wick-rotated or skew-whiffed background, break all supersymmetries as well as parity invariance. From near the boundary behavior of the closed solution for the coupled bulk (pseudo)scalar, we get a marginal triple-trace deformation with mixed boundary condition (valid also for the bulk massless m2=0 (pseudo)scalar, raised when considering the external space backreaction, with Dirichlet boundary condition) and as a result, the corresponding boundary effective potential is unbounded from below and causes an instability because of the Fubini-like instanton. Presenting dual effective actions, we see that the boundary solutions and counterparts realize in singlet sectors of three-dimensional U(N) and O(N) Chern–Simons-matter field theories. In particular, we use versions of massless and mass-deformed regular and critical boson and fermion models, find instantons and confirm state-operator AdS4/CFT3 correspondence and also Bose–Fermi duality at the level of the solutions. In addition, we discuss on relations of our setups with Vasiliev’s Higher-Spin theories, deformations of the Aharony–Bergman–Jafferis–Maldacena model and other related studies.
