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SUGRA/Strings like to be bald
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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 $AdS_4$ 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.
Forward citations
Cited by 2 Pith papers
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Spontaneous Space-Time Parity Breaking Without Thermal Restoration
A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.
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Instability of Baryonic Black Branes
Baryonic black branes in the conifold gauge theory are shown to be dynamically unstable below T/µ_B = 0.2770(5), with an accompanying subdominant ordered phase extending to high temperatures.
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