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

2025/09/10 by Borsten, Leron, Kanakaris, Dimitri, Kim, Hyungrok
#58A50 (Primary) 81T45 #81T13 (Secondary) #83C47 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2509.08819

Abstract

We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-Ševera-Valach that manifest the centre symmetries of Chern-Simons theory and Yang-Mills theory as well as general relativity in the MacDowell-Mansouri formulation. The 'filling' of the sandwich is an AKSZ sigma model whose target space is a Weil algebra, augmented with discrete degrees of freedom given by a choice of topological boundary condition.

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Related

• Web of 4D Dualities, Supersymmetric Partition functions and SymTFT
• Symmetry TFTs for Continuous Spacetime Symmetries
• Symmetries of the Chern-Simons Theory in the Axial Gauge, Manifold with Boundary
• Analytic Torsion, 3d Mirror Symmetry And Supergroup Chern-Simons\n Theories
• Some aspects of symmetry descent