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Conformal covariance and the split property

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OAS - Operator algebras: subfactors and their applications

Several important structural properties of a quantum field theory are known to be automatic in the conformal case. The split property is the statistical independence of local algebras associated to regions with a positive (spacelike) separation. We show that in chiral theories when the full conformal (i.e. diffeomorphism) covariance is assumed, then the split property holds. Time permitting, we also provide an example of a two-dimensional conformal net that does not have the split property.

The talk relies on the joint work “Conformal covariance and the split property” with Y. Tanimoto (Uni. of Rome “Tor Vergata”), M. Weiner (Budapest Uni. of Technology and Economics), arXiv:1609.02196.



This talk is part of the Isaac Newton Institute Seminar Series series.

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BAS Seminar Room 330b; https://ukri.zoom.us/j/96940439410 in person & via zoom JCBC Lecture Theatre, Puddicombe Way, Cambridge

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