论文标题
全息自发性各向异性
Holographic spontaneous anisotropy
论文作者
论文摘要
我们在强烈的量规理论中为各向异性状态建立了一个全息双重的家族。在现场理论方面，各向异性是通过将真空期望值给三个操作员给出的真空期望值而产生的。我们通过考虑对应于沿2+1维的D3-和D5-晶体的几何形状来获得重力双重。我们的背景是超对称性的，并解决了用污迹的D5-Brane源的十维超级重力运动的完全反向反应的方程。在所有情况下，几何形状流向紫外线中的$ ads_ {5} \ times {\ mathbb s}^5 $，向双场理论发出了各向同性UV固定点的信号。在IR中，根据解决方案的参数，我们发现了两种可能的行为：各向同性固定点或具有各向异性LIFSHITZ样缩放对称性的几何形状。我们研究溶液的几种特性，包括条带的纠缠熵。我们表明，现有的$ C $ - 功能的任何自然扩展都将显示出非单调的行为，仅在中间能量尺度上才有新的自由度。
We construct a family of holographic duals to anisotropic states in a strongly coupled gauge theory. On the field theory side the anisotropy is generated by giving a vacuum expectation value to a dimension three operator. We obtain our gravity duals by considering the geometry corresponding to the intersection of D3- and D5- branes along 2+1 dimensions. Our backgrounds are supersymmetric and solve the fully backreacted equations of motion of ten-dimensional supergravity with smeared D5-brane sources. In all cases the geometry flows to $AdS_{5}\times {\mathbb S}^5$ in the UV, signaling an isotropic UV fixed point of the dual field theory. In the IR, depending on the parameters of the solution, we find two possible behaviors: an isotropic fixed point or a geometry with anisotropic Lifshitz-like scaling symmetry. We study several properties of the solutions, including the entanglement entropy of strips. We show that any natural extension of existing $c$-functions will display non-monotonic behavior, conforming with the presence of new degrees of freedom only at intermediate energy scales.
