Dual localized objects from m-branes over

Abstract

We consider a few ansatzs for the four and seven forms of 11-dimensional (11D) supergravity over while trying to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk of Euclidean that match with some boundary operators. Indeed, the main objects are instantons and domain walls as the fully and partially localized objects in the external space, respectively. The latter comes from an (anti)M5-brane wrapping partly around three internal directions similar to the fuzzy solutions. Except for the first solutions of adding some anti-M2-branes (M2-branes) to the original M2-branes, the objects backreact on the geometry although (break all supersymmetries and destabilize the vacua). The dual 3-dimensional field theory solutions are obtained by the skew-whiffing and for the scalars and pseudoscalars respectively, while the gauge fields are used mainly for the cases where the R-symmetry and supersymmetry are enhanced as and respectively, and also for pseudoscalars. Further, for the pseudoscalars we propose a special boundary deformation, with a fermion field, that is equivalent to a multi-trace deformation already studied for the bulk conformally coupled pseudoscalar.