Sandwich construction of symmetry topological field theories for the center symmetries of Chern-Simons, Yang-Mills, and Einstein gravity
Abstract
We construct symmetry topological field theories using the sandwich construction of Pulmann-Ševera-Valach that manifest the center 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 Alexandrov-Kontsevich-Schwarz-Zaboronsky sigma model whose target space is a Weil algebra, augmented with discrete degrees of freedom given by a choice of topological boundary condition.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 12
- Publication date
- 24 March 2026
- Language
- EN