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Conformal covariance and the split property. (arXiv:1609.02196v2 [math-ph] UPDATED)
来源于:arXiv
We show that for a conformal local net of observables on the circle, the
split property is automatic. Both full conformal covariance (i.e.
diffeomorphism covariance) and the circle-setting play essential roles in this
fact, while by previously constructed examples it was already known that even
on the circle, M\"obius covariance does not imply the split property.
On the other hand, here we also provide an example of a local conformal net
living on the two-dimensional Minkowski space, which - although being
diffeomorphism covariant - does not have the split property. 查看全文>>