Abelian duality on globally hyperbolic spacetimes

DOI10.1007/S00220-016-2669-9zbMath1358.83008arXiv1511.00316OpenAlexW3106142143MaRDI QIDQ507281

Christian Becker, Alexander Schenkel, Richard J. Szabo, Marco Benini

Publication date: 3 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00316

zbMATH Keywords

quantum field theoryCauchy surfacesAbelian dualityCCR-functorCheeger-Simons differential cohomologyelectric/magnetic dualityglobally hyperbolic spacetimes

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Generalized Einstein-Scalar-Maxwell theories and locally geometric U-folds ⋮ Hadamard states for quantum abelian duality ⋮ Quantum field theories on categories fibered in groupoids ⋮ A new class of fermionic projectors: Møller operators and mass oscillation properties ⋮ Higher Structures in Algebraic Quantum Field Theory ⋮ Abelian duality for generalized Maxwell theories ⋮ Linear Yang-Mills theory as a homotopy AQFT

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