We present recent progress in theory of local conformal nets which is an operator algebraic approach to study chiral conformal field theory. We emphasize representation theoretic aspects and relations to theory of vertex operator algebras which gives a different and algebraic formulation of chiral conformal field theory.
Classification of Local Conformal Nets. Case c < 1
Representation theory in chiral conformal field theory: from fields to observables
Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras
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