Emergent gauge theory and gravity in condensed matter systems

由于存在大量的耦合自由度，从第一性原理计算很难理解相关的多体系统。然而，尽管系统在微观长度尺度上是复杂的，但长距离特性可以用一个相对简单有效的理论来描述。有效理论可以用来描述多体状态，因为不同的有效理论描述了不同的阶段。到目前为止，在凝聚态物质系统中已经实现了几个不同的相。它们包括分数量子霍尔系统的Landau Fermi液态态、对称性破碎态和拓扑有序相。另一方面，我们知道，我们宇宙的真空被更丰富的有效理论所描述，其中包括规范理论、广义相对论和(可能的)超对称性。因此，人们可能会问，这些有效的理论是否也会出现在一些凝聚态系统中。本研究的目的是寻找其长程性质以规范理论、广义相对论或超对称性为特征的凝聚态系统的新状态。

It is difficult to understand correlated many-body systems from a first principle calculation due to the huge number of coupled degrees of freedom. However, despite the complexity of the system at the microscopic length scale, the long distance properties can be described by a relatively simple effective theory. Effective theory can serve as a characterization of the many-body state in the sense that different phases are described by different effective theories. Until now, several different phases have been realized in condensed matter systems. They include the Landau Fermi liquid state, the symmetry broken state and the topologically ordered phase of the fractional quantum Hall systems. On the other hand we know that the vacuum of our universe is described by richer effective theories which include gauge theory, general relativity and (possibly) supersymmetry. Therefore one can ask whether these effective theories may also emerge in some condensed matter systems. The objective of this research is to search for new states of condensed matter systems whose long distance properties are characterized by gauge theory, general relativity or supersymmetry.