Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity (2509.08819v1)

Published 10 Sep 2025 in hep-th, gr-qc, math-ph, and math.MP

Abstract: We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-\v{S}evera-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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Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity (4 likes, 0 questions)