AG Mathematische Physik, Yoh Tanimoto (Rom): Unitary vertex algebras and Wightman conformal field theories

Yoh Tanimoto (Rom)

Unitary vertex algebras and Wightman conformal field theories

Abstract:

We report recent progress on the axiomatic approaches to
two-dimensional conformal field theory. We prove the equivalence between unitary
vertex operator algebras and Moebius-covariant Wightman fields with some
analytic conditions. We will discuss possible generalizations to full 2d CFT.