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SymTFTs for $U(1)$ symmetries from descent

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arxiv 2411.15126 v1 pith:73AYWKTY submitted 2024-11-22 hep-th

classification hep-th
keywords symtftsdescentobtainsymmetriessymmetrybeendimensionalengineered
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recently, the notion of symmetry descent has been introduced in order to obtain the $(d+1)$-dimensional Symmetry TFT (SymTFT) of a $d$-dimensional QFT from the edge mode behaviour of a theory in $(d+2)$-dimensions. This method has so far been used to obtain SymTFTs for discrete higher-form symmetries of geometrically engineered QFTs. In this note, we extend the symmetry descent procedure to obtain SymTFTs for $U(1)$ higher-form symmetries of geometrically engineered QFTs. We find the resulting SymTFTs match those in the works of Antinucci-Benini and Brennan-Sun.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Disjoint additivity and local quantum physics

    hep-th 2025-09 conditional novelty 7.0 of 10

    Local quantum systems should obey disjoint additivity plus Haag duality, a combination that survives higher-form symmetries and fails for known nonlocal constructions.

  2. Topological Holography for Mixed-State Phases and Phase Transitions

    cond-mat.str-el 2025-07 conditional novelty 6.0 of 10

    Mixed-state phases of (1+1)D systems with finite group symmetry are classified by condensable algebras in the doubled topological order Z(Vec_{GxG}) subject to Hermiticity and positivity constraints.

  3. Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.

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