Abelian Duality for Generalised Maxwell Theories
arXiv:1402.0890 · doi:10.1007/s11040-019-9319-3
Abstract
We describe a construction of generalized Maxwell theories -- higher analogues of abelian gauge theories -- in the factorization algebra formalism of Costello and Gwilliam, allowing for analysis of the structure of local observables. We describe the phenomenon of abelian duality for local observables in these theories as a form of Fourier duality, relating observables in theories with dual abelian gauge groups and inverted coupling constants in a way compatible with the local structure. We give a description of expectation values in this theory and prove that duality preserves expectation values. Duality is shown to, for instance, interchange higher analogues of Wilson and 't Hooft operators.
30 pages, 4 figures. Updated version to appear in Mathematical Physics, Analysis and Geometry
References in corpus (8)
- The Uncertainty of Fluxes
- Heisenberg Groups and Noncommutative Fluxes
- Electric-Magnetic Duality And The Geometric Langlands Program
- Abelian duality, walls and boundary conditions in diverse dimensions
- Functional integration and gauge ambiguities in generalized abelian gauge theories
- Abelian duality on globally hyperbolic spacetimes
- Abelian Duality at Higher Genus
- Global Aspects of Abelian Duality in Dimension Three