二维轨道群的 SymTFT 方法：'t Hooft 反常现象、测量和分割函数

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-04-04 DOI:10.1007/JHEP04(2025)043

Jin Chen, Qiang Jia

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引用次数: 0

摘要

我们利用三维SymTFT方法研究了二维CFTs在不同轨道相和费米子相中的广义对称性和配分函数。这些相位可以通过在相关的具有不同间隙边界的三维对称傅里叶变换中构建夹心结构来实现，该夹心结构对二维对称傅里叶变换中的对称性数据进行编码。我们证明了缺口边界都可以用三维SymTFT中的（费米子）拉格朗日代数来识别，从而利用它们在配分函数水平上建立了边界cft在不同相位的对偶网络。此外，我们引入了“准费米子拉格朗日代数”的概念，使我们能够在二维边界上构造准费米化cft的配分函数。最后，我们提供了许多重要的例子，包括三维对称tft对二维cft中不可逆对称性的测量。

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SymTFT approach to 2D orbifold groupoids: ’t Hooft anomalies, gauging, and partition functions

We use the 3D SymTFT approach to study the generalized symmetries and partition functions of 2D CFTs in various orbifolded and fermionic phases. These phases can be realized by the sandwich construction in the associated 3D SymTFTs with different gapped boundaries that encode the data of symmetries in the 2D CFTs. We demonstrate that the gapped boundaries can all be identified with the (fermionic) Lagrangian algebra in the 3D SymTFT, and thus use them to establish webs of dualities of the boundary CFTs in different phases on the level of partition functions. In addition, we introduce the concept of “para-fermionic Lagrangian algebra” which enables us to construct the partition functions of para-fermionized CFTs on the 2D boundary. Finally, we provide many important examples, including a 3D SymTFT viewpoint on gauging non-invertible symmetries in 2D CFTs.

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).