论文标题
Sugra/弦喜欢秃头
SUGRA/Strings like to be bald
论文作者
论文摘要
我们探讨了$ {\ mathbb r}^{2,1} $中描述热相对论有序的共形相的现象全息模型的嵌入。渐近$ ads_4 $的繁殖剂中的双黑晶体具有``头发'' - 折断对称性的顺序参数的凝结。在重力二重要中，自发对称性破坏的顺序参数由具有非平凡势的散装标量场表示。为了构建有序的保形相，我们在标量电势中引入了现象学变形参数。我们发现，虽然有序阶段存在于变形参数的不同值，但它们在去除变形之前就消失了，在一种情况下，一旦电势精确地与自上而下的全息图一样。看来，具有共形有序阶段的全息模型在字符串理论划线中。
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.
