Dual Instantons in Anti-membranes Theory
arXiv:1012.2554 · doi:10.1103/PhysRevD.83.085025
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
References in corpus (7)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Consistent supersymmetric Kaluza--Klein truncations with massive modes
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- Notes on Supersymmetry Enhancement of ABJM Theory
- Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
- N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
- Non-linear Laplace equation, de Sitter vacua and information geometry