涡旋晶格中的晶体标度几何
Crystalline Scaling Geometries from Vortex Lattices
摘要：
我们研究了具有Lifshitz和/或超标度违反指数（在IR中具有硬壁截止和光滑黑膜视界）的磁几何，其具有耦合到磁场的复杂标量场。复标量对于IR中涡旋晶格的产生是不稳定的。晶格是相关的（即生长到IR中）可归一化模式。当我们考虑晶格在度规场和规范场上的线性化反作用时，度规形成了晶体结构。我们分析了晶格相的自由能，热力学熵和纠缠的标度，并发现在涂抹的限制，由于晶格的热力学性质的领先阶校正具有超标度违反指数在0和1之间的理论的标度行为，表明流到一个有效的低维理论在深IR。
英文摘要：
We study magnetic geometries with Lifshitz and/or hyperscaling violation exponents (both with a hard wall cutoff in the IR and a smooth black brane horizon) which have a complex scalar field which couples to the magnetic field. The complex scalar is unstable to the production of a vortex lattice in the IR. The lattice is a normalizable mode which is relevant (i.e. grows into the IR.) When one considers linearized backreaction of the lattice on the metric and gauge field, the metric forms a crystalline structure. We analyze the scaling of the free energy, thermodynamic entropy, and entanglement in the lattice phase and find that in the smeared limit, the leading order correction to thermodynamic properties due to the lattice has the scaling behavior of a theory with a hyperscaling violation exponent between 0 and 1, indicating a flow to an effectively lower-dimensional theory in the deep IR.
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