2014/10/31 by Andrea Amoretti, Alessandro Braggio, Giacomo Caruso +2 · 22 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Covariant transformation #Field (mathematics) #Field theory (psychology) #Geometry #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Observable #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1103/physrevd.90.125006
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(12) (American Physical Society) · 19 pages, no figures, comments added, results unchanged, version to appear on PRD
arxiv created 2014/11/18 · openalex publication_date 2014/12/05 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the consequences of the presence of a boundary in topological field theories in various dimensions. We characterize, univocally and on very general grounds, the field content and the symmetries of the actions which live on the boundary. We then show that these actions are covariant, despite appearances. We show also that physically relevant theories like the 2D Luttinger liquid model or the four-dimensional Maxwell theory, can be seen as boundary reductions of higher-dimensional topological field theories, which do not display local observables.