nLab
conformal net

AQFT

and

operator algebra

Definitions

Theorems

Operator algebra

Local QFT

Euclidean QFT

Edit this sidebar


physics

books and reviews

(higher) category theory and physics


Edit this sidebar

Contents

Idea

A conformal net is a local net of observables that describes (2-dimensional) conformal field theory in the framework of AQFT.

References

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.