标题： 对无能隙奇异层状对偶模型的SymTFT构造 显示英文标题

标题： SymTFT construction of gapless exotic-foliated dual models

摘要： 我们为连续子系统对称性构建了对称拓扑场理论（SymTFTs），这些理论本质上是非洛伦兹不变的。 我们的框架生成了双重体描述——有能隙的分层和奇异的SymTFT——通过区间紧化产生具有自发子系统对称性破缺的无能隙边界理论。 类似于SymTFT的夹层构造，我们将此称为千层酥。 这是通过指定有能隙和对称性破缺的边界条件来实现的。 这样我们得到了各种模型的分层对偶实现，包括XY板块、XYZ立方体和$\phi$、$\hat{\phi}$理论。 这也捕捉到了自对偶对称性作为凝聚缺陷，并提供了一种生成非线性实现子系统对称性的自由理论的系统方法。 显示英文摘要

摘要： We construct Symmetry Topological Field Theories (SymTFTs) for continuous subsystem symmetries, which are inherently non-Lorentz-invariant. Our framework produces dual bulk descriptions -- gapped foliated and exotic SymTFTs -- that generates gapless boundary theories with spontaneous subsystem symmetry breaking via interval compactification. In analogy with the sandwich construction of SymTFT, we call this Mille-feuille. This is done by specifying gapped and symmetry-breaking boundary conditions. In this way we obtain the foliated dual realizations of various models, including the XY plaquette, XYZ cube, and $\phi$, $\hat{\phi}$ theories. This also captures self-duality symmetries as condensation defects and provides a systematic method for generating free theories that non-linearly realize subsystem symmetries.