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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Quantum Field Theory II

MP 10.1: Hauptvortrag

Mittwoch, 15. März 2017, 16:30–17:15, SFG 2010

Conformal nets and vertex operator algebras — •Sebastiano Carpi — University of Chieti-Pescara, Italy

The study of conformal field theory (CFT) in two space-time dimensions has found applications to different areas of physics and mathematics. Chiral CFTs, namely CFTs on the circle, are the building blocks of CFT. We have two different axiomatic approaches to chiral CFT. The conformal net approach is based on the theory of operator algebras in Hilbert spaces ( C^*-algebras and von Neumann algebras) and it is the chiral CFT version of algebraic quantum field theory (AQFT). On the other hand, the vertex operator algebra (VOA) approach approach is based on an algebraic reformulation of the relevant properties of conformal invariant quantum fields on the circle. In this talk I will discuss various recent results on the connections between these two approaches.