English

Conformal Field Theory, Vertex Operator Algebras and Operator Algebras

Mathematical Physics 2019-08-01 v1 Category Theory math.MP Operator Algebras Quantum Algebra Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1711.11349,
  title  = {Conformal Field Theory, Vertex Operator Algebras and Operator Algebras},
  author = {Yasuyuki Kawahigashi},
  journal= {arXiv preprint arXiv:1711.11349},
  year   = {2019}
}

Comments

20 pages, for the Proceedings of ICM 2018