SUGRA/Strings like to be bald

Abstract

We explore the embedding of the phenomenological holographic models describing thermal relativistic ordered conformal phases in ${\mathbb{R}}^{2,1}$ in SUGRA/String theory. The dual black branes in a Poincare patch of asymptotically $Ad{S}_4$ have ``hair'' -- a condensate of the order parameter for the broken symmetry. In a gravitational dual the order parameter for a spontaneous symmetry breaking is represented by a bulk scalar field with a nontrivial potential. To construct the ordered conformal phases perturbatively we introduce a phenomenological deformation parameter in the scalar potential. We find that while the ordered phases exist for different values of the deformation parameter, they disappear before the deformation is removed, in one case once the potential is precisely as in the top-down holography. It appears that the holographic models with the conformal ordered phases are in the String theory swampland.

9 pages, 4 figures

References in corpus (3)

• Building an AdS/CFT superconductor
• The String Landscape and the Swampland
• Thermal Order in Conformal Theories

Cited by in corpus (9)

• A model of persistent breaking of discrete symmetry
• Thermal order in large N conformal gauge theories
• A model of persistent breaking of continuous symmetry
• Symmetry breaking at high temperatures in large N gauge theories
• Compactified holographic conformal order
• A bestiary of black holes on the conifold with fluxes
• Stabilization of the extended horizons
• Gravitational susceptibility of QGP
• The quest for a conifold conformal order