Dual instantons in antimembranes theory

作者：Imaanpur A^*; Naghdi M

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2011, 83(8): 085025.

DOI：10.1103/PhysRevD.83.085025

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 the SU(4) subgroup of the SO(8) isometry group, whereas there are no corresponding SU(4) singlet Bogomol'nyi-Prasad-Sommerfeld operators of dimensions one or two on the boundary theory constructed by Aharony, Bergman, Jafferis, and Maldacena. Noticing the interchange of 8(s) and 8(c) representations under skew-whiffing in the bulk, we propose the theory of antimembranes should similarly be obtained from Aharony, Bergman, Jafferis, and Maldacena's 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.

• 出版日期2011-4-22