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Related papers: SymTFT construction of gapless exotic-foliated dua…

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In the Symmetry Topological Field Theories (SymTFT) that describes the exotic models XY-plaquette and XYZ-cube, we construct codim-1 condensation defects by higher gauging with discrete torsion the non-compact symmetry of the bulk. In the…

High Energy Physics - Theory · Physics 2026-04-10 Francesco Bedogna , Salvo Mancani

Symmetry topological field theory (SymTFT) is a convenient tool for studying finite generalized symmetries of a given quantum field theory (QFT). In particular, SymTFTs encode all the symmetry structures and properties, including anomalies.…

High Energy Physics - Theory · Physics 2026-03-24 Fabio Apruzzi , Francesco Bedogna , Nicola Dondi

In this work, we construct a new foliated quantum field theory equivalent to the exotic $\phi$-theory -- a fractonic gapless scalar field theory described by tensor gauge fields and exhibiting $U(1) \times U(1)$ subsystem global symmetry.…

Strongly Correlated Electrons · Physics 2026-03-13 Kantaro Ohmori , Shutaro Shimamura

We derive the Symmetry Topological Field Theories (SymTFTs) for 3d supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric engineering or holography. These 4d SymTFTs encode the symmetry structures of the…

High Energy Physics - Theory · Physics 2023-03-22 Marieke van Beest , Dewi S. W. Gould , Sakura Schafer-Nameki , Yi-Nan Wang

Symmetry topological field theory (SymTFT), or topological holography, posits a correspondence between symmetries in a $d$-dimensional theory and topological order in a $(d+1)$-dimensional theory. In this work, we extend this framework to…

Strongly Correlated Electrons · Physics 2025-09-30 Qiang Jia , Zhian Jia

In this work we study particular TQFTs in three dimensions, known as Symmetry Topological Field Theories (or SymTFTs), to identify line defects of two-dimensional CFTs arising from the compactification of 6d $(2,0)$ SCFTs on 4-manifolds…

High Energy Physics - Theory · Physics 2024-08-26 Jin Chen , Wei Cui , Babak Haghighat , Yi-Nan Wang

We generalize the idea of symmetry topological field theory (SymTFT) for subsystem symmetry. We propose the 2-foliated BF theory with level $N$ in $(3+1)$d as subsystem SymTFT for subsystem $\mathbb Z_N$ symmetry in $(2+1)$d. Focusing on…

High Energy Physics - Theory · Physics 2024-04-10 Weiguang Cao , Qiang Jia

We study $\mathbb{Z}_N$ one-form center symmetries in four-dimensional gauge theories using the symmetry topological field theory (SymTFT). In this context, the associated TFT in the five-dimensional bulk is the BF model. We revisit its…

High Energy Physics - Theory · Physics 2025-01-27 Zhihao Duan , Qiang Jia , Sungjay Lee

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory,…

High Energy Physics - Theory · Physics 2023-08-02 Fabio Apruzzi , Federico Bonetti , Iñaki García Etxebarria , Saghar S. Hosseini , Sakura Schafer-Nameki

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal…

High Energy Physics - Theory · Physics 2024-12-10 Andrea Antinucci , Francesco Benini , Giovanni Rizi

In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries that govern theories with fractons and non-invertible symmetries, which do not fuse…

High Energy Physics - Theory · Physics 2024-05-29 Ryan C. Spieler

The symmetry data of a $d$-dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory (SymTFT). In top down (i.e., stringy) realizations of this structure, the QFT in…

High Energy Physics - Theory · Physics 2024-08-23 Mirjam Cvetič , Ron Donagi , Jonathan J. Heckman , Max Hübner , Ethan Torres

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…

High Energy Physics - Theory · Physics 2025-03-18 Jin Chen , Qiang Jia

Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional setting of global symmetry enrichment. A recently discovered…

Strongly Correlated Electrons · Physics 2025-05-07 Po-Shen Hsin , David T. Stephen , Arpit Dua , Dominic J. Williamson

Fracton phases are new types of phases of matter characterized by subsystem global symmetry, which is a generalized global symmetry whose symmetry operator is partially topological. Their continuum low-energy effective descriptions admit…

Strongly Correlated Electrons · Physics 2026-03-13 Shutaro Shimamura

We use the Symmetry Topological Field Theory (SymTFT) to systematically characterize gapped phases in 2+1 dimensions with categorical symmetries. The SymTFTs that we consider are (3+1)d Dijkgraaf-Witten (DW) theories for finite groups $G$,…

High Energy Physics - Theory · Physics 2025-03-10 Lakshya Bhardwaj , Sakura Schafer-Nameki , Apoorv Tiwari , Alison Warman

We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling $\tau$ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the…

High Energy Physics - Theory · Physics 2025-06-05 Elise Paznokas

The $(D+1)$-dimensional symmetry topological field theory (SymTFT$_{D+1}$) of a $D$-dimensional absolute quantum field theory (QFT$_D$) provides a topological characterization of symmetry data. In this framework, the SymTFT comes equipped…

High Energy Physics - Theory · Physics 2026-04-22 Oren Bergman , Jonathan J. Heckman , Max Hübner , Daniele Migliorati , Xingyang Yu , Hao Y. Zhang

The SymTFT construction is an efficient way of studying the symmetries of Quantum Field Theories. In this paper we initiate the study of the SymTFT construction for interacting theories on spaces with boundaries, in the concrete example of…

High Energy Physics - Theory · Physics 2025-03-03 Iñaki García Etxebarria , Jesús Huertas , Angel M. Uranga

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to $AdS_5$. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF…

High Energy Physics - Theory · Physics 2021-04-07 Ibrahima Bah , Federico Bonetti , Ruben Minasian
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