Holographic conformal order in supergravity

We explore the embedding of phenomenological holographic models describing thermal relativistic ordered conformal phases in R2,1 SUGRA/String theory. The dual black branes a Poincare patch asymptotically AdS4 have “hair” — condensate order parameter for broken symmetry. In gravitational spontaneous symmetry breaking is represented by bulk scalar field with nontrivial potential. To construct perturbatively we introduce deformation find that while exist different values parameter, they disappear before removed, one case once potential precisely as top-down holography. While considered here are String theory swampland, it remains an open question whether presence genuine swampland principle.