论文标题
叶状量子场理论
Foliated Quantum Field Theory of Fracton Order
论文作者
论文摘要
我们介绍了连续体中散布的分裂订单的一种新型的叶状量子场理论（FQFT）。 FQFT定义在一个或多个叶子给出的分层结构上定义，每个结构都将空间分解为一堆层。 FQFT涉及一种新型的量规场，即叶状量规场，其行为与此层堆栈上的独立轨距集合相似。规格不变的算子（及其类似的粒子迁移率）被限制为来自不同叶子的一层或多个层的相交。量化水平系数并表现出二元性，可在空间上转换系数。这种二元性发生是因为FQFT是叶状的fracton顺序。也就是说，双重性可以通过我们将其配音去除角质从FQFT中解除2+1D量规的理论。
We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in the continuum. FQFT is defined on a manifold with a layered structure given by one or more foliations, which each decompose spacetime into a stack of layers. FQFT involves a new kind of gauge field, a foliated gauge field, which behaves similar to a collection of independent gauge fields on this stack of layers. Gauge invariant operators (and their analogous particle mobilities) are constrained to the intersection of one or more layers from different foliations. The level coefficients are quantized and exhibit a duality that spatially transforms the coefficients. This duality occurs because the FQFT is a foliated fracton order. That is, the duality can decouple 2+1D gauge theories from the FQFT through a process we dub exfoliation.
