Communications in Mathematical Physics

, Volume 342, Issue 1, pp 1–45 | Cite as

Phase Boundaries in Algebraic Conformal QFT

  • Marcel Bischoff
  • Yasuyuki Kawahigashi
  • Roberto Longo
  • Karl-Henning Rehren


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.


Fusion Rule Tensor Category Local Extension Local Algebra Superselection Sector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany
  2. 2.Department of MathematicsVanderbilt UniversityNashvilleUSA
  3. 3.Department of Mathematical SciencesThe University of TokyoKomaba, TokyoJapan
  4. 4.Kavli IPMU (WPI)The University of TokyoKashiwaJapan
  5. 5.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly

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