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- Title
Unitary Vertex Algebras and Wightman Conformal Field Theories.
- Authors
Raymond, Christopher; Tanimoto, Yoh; Tener, James E.
- Abstract
We prove an equivalence between the following notions: (i) unitary Möbius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call uniformly bounded order. Reading this equivalence in one direction, we obtain new analytic and operator-theoretic information about vertex operators. In the other direction we characterize OPEs of Wightman fields and show they satisfy the axioms of a vertex algebra. As an application we establish new results linking unitary vertex operator algebras with conformal nets.
- Subjects
CONFORMAL field theory; VERTEX operator algebras; ALGEBRA; UNITARY operators; CIRCLE; ALGEBRAIC field theory
- Publication
Communications in Mathematical Physics, 2022, Vol 395, Issue 1, p299
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-022-04431-9