https://doi.org/10.1140/epjp/s13360-023-03686-y
Regular Article
Instantons in AdS
from (anti)membranes wrapping 
to Bose–Fermi duality in CFT
’s
1
Department of Physics, Faculty of Basic Sciences, University of Ilam, Ilam, Iran
2
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Received:
1
April
2022
Accepted:
10
January
2023
Published online:
19
January
2023
We present new 
-invariant and non-supersymmetric instanton solutions for the conformally coupled 
and massive 
(pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over 
when the internal space is a 
Hopf fibration on 
, 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 
(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 AdS/CFT 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.
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