Dual Instantons in Anti-membranes Theory

Abstract

We introduce two ansatzs for the 3-form potential of Euclidean 11d supergravity on skew-whiffed AdS_4 X S^7 background which results in two scalar modes with m^2=-2 on AdS_4. Being conformally coupled with a quartic interaction it is possible to find the exact solutions of the scalar equation on this background. These modes turn out to be invariant under SU(4) subgroup of SO(8) isometry group, whereas there are no corresponding SU(4) singlet BPS operators of dimensions one or two on the boundary ABJM theory. Noticing the interchange of 8_s and 8_c representations under skew-whiffing in the bulk, we propose the theory of anti-membranes should similarly be obtained from ABJM theory by swapping these representations. In particular, this enables us to identify the dual boundary operators of the two scalar modes. We deform the boundary theory by the dual operators and examine the fermionic field equations and compare the solutions of the deformed theory with those of the bulk.

14 pages, minor changes, added refs

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Cited by in corpus (6)

• A Monopole Instanton-Like Effect in the ABJM Model
• New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3
• Non-Minimally Coupled Pseudoscalars in AdS_4 for Instantons in CFT_3
• Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k
• Marginal Fluctuations as Instantons on M2/D2-Branes
• Massive (pesudo)Scalars in AdS${}_4$, SO(4) Invariant Solutions and Holography