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Conformal covariance and the split property

Presented by: 
Vincenzo Morinelli Università degli Studi di Roma Tor Vergata
Thursday 9th February 2017 - 14:00 to 15:00
INI Seminar Room 2
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons