BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

AQFT and VOAs Carpi, Sebastiano


We have two different axiomatic approaches to chiral conformal field theory (CFT). The conformal net approach is based on the theory of operator algebras on 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 is based on an algebraic reformulation of the relevant properties of conformal invariant quantum fields on the circle.

I will give an overview of the present status of understanding in relation to the connections between these two approaches.

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