Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 342, Issue 1, Pages 1-45Publisher
SPRINGER
DOI: 10.1007/s00220-015-2560-0
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Funding
- ERC QUEST Quantum Algebraic Structures and Models [669240]
- PRIN-MIUR
- GNAMPA-INdAM
- Alexander von Humboldt Foundation
- JSPS
- German Research Foundation (Deutsche Forschungsgemeinschaft (DFG)) through Institutional Strategy of University of Gottingen
- Grants-in-Aid for Scientific Research [15H02056] Funding Source: KAKEN
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We study the structure of local algebras in relativistic conformal quantum field theory with phase boundaries. Phase boundaries are instances of a more general notion of boundaries that give rise to a variety of algebraic structures. These can be formulated in a common framework originating in Algebraic QFT, with the principle of Einstein Causality playing a prominent role. We classify the phase boundary conditions by the centre of a certain universal construction, which produces a reducible representation in which all possible boundary conditions are realized. For a large class of models, the classification reproduces results obtained in a different approach by Fuchs et al. before.
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