英文名：Strings Like To Be Bald
SUGRA/Strings like to be bald
摘要：
本文研究了SUGRA/弦论中描述热相对论有序共形相的唯象全息模型在${\mathbb R}^{2,1}$中的嵌入。在渐近$AdS_4$的庞加莱补丁中的对偶黑膜有“头发”--对称破缺的序参量的凝聚。在引力对偶中，自发对称性破缺的序参量用具有非平凡势的体标量场表示。为了构造有序共形相位微扰，我们在标量势中引入了一个唯象的形变参数。我们发现，虽然存在的有序相的变形参数的不同值，它们消失之前的变形被删除，在一种情况下，一旦潜在的正是在自上而下的全息。看来具有共形有序相位的全息模型是在弦论的沼泽地里。
英文摘要：
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.
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