and
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A conformal net is a local net of observables that describes (2-dimensional) conformal field theory in the framework of AQFT.
Standard AQFT references on conformal nets include
and lots of others…
A somewhat novel take on conformal nets is presented and studied in
where conformal nets are arranged into a tricategory with symmetric monoidal structure that is a delooping of the bicategory of von Neumann algebras and bimodules between these. Among other things, this work connects the AQFT notion of conformal nets with the FQFT notion of cobordism representations.