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arXiv · 1405.7863

Phase boundaries in algebraic conformal QFT

Marcel Bischoff·Yasuyuki Kawahigashi·Roberto Longo·Karl-Henning Rehren
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Abstract

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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Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo, Karl-Henning Rehren. 2016-01-31. Phase boundaries in algebraic conformal QFT. https://doi.org/10.1007/s00220-015-2560-0

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