SymTFTs for U(1) symmetries from descent

2024/11/22 by Finn Gagliano, Iñaki García‐Etxebarria, Gagliano, Finn +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2411.15126

openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• A Proposal for symTFTs and symThs from Holography
• Categorical Continuous Symmetry
• Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity
• The SymTFT of u(N) Yang-Mills Theory and Holography

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• A SymTFT for Continuous Symmetries
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