论文标题
分形BF理论中的叶状二元性
Foliated-Exotic Duality in Fractonic BF Theories
论文作者
论文摘要
已经提出了两种连续描述，对分裂系统：叶量量子场理论（FQFTS）和外来量子场理论。据信某些fracton系统都可以接受描述，因此，这种类别的FQFT和异国情调的QFT之间有二元性。在本文中，我们详细研究了这种二元性，以$ 2+1 $和$ 3+1 $尺寸的具体示例。在示例中，连续理论的两面都是$ bf $ type，我们找到了规格不变的操作员，仪表字段，参数以及允许奇异性和不连续性的明确对应。这加深了对分形量子场理论中二元性的理解。
There has been proposed two continuum descriptions of fracton systems: foliated quantum field theories (FQFTs) and exotic quantum field theories. Certain fracton systems are believed to admit descriptions by both, and hence a duality is expected between such a class of FQFTs and exotic QFTs. In this paper we study this duality in detail for concrete examples in $2+1$ and $3+1$ dimensions. In the examples, both sides of the continuum theories are of $BF$-type, and we find the explicit correspondences of gauge-invariant operators, gauge fields, parameters, and allowed singularities and discontinuities. This deepens the understanding of dualities in fractonic quantum field theories.
