On the introduction of a boundary in topological field theories
arXiv:1410.2728 · doi:10.1103/PhysRevD.90.125006
Abstract
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 4D Maxwell theory, can be seen as boundary reductions of higher dimensional topological field theories, which do not display local observables.
arXiv comment19 pages, no figures, comments added, results unchanged, version to appear on PRD
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- Fractional Quantum Hall Effect for Extended Objects: from Skyrmionic Membranes to Dyonic Strings
- Hall-like behaviour of higher rank Chern-Simons theory of fractons
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- Notes from the bulk: metric dependence of the edge states of Chern-Simons theory
- Edge physics and the Casimir interaction in Maxwell-Chern-Simons theory on a strip