29 citations · 119 across the 22 of their papers we have counts for
9 papers · 1 filter
The Bisognano-Wichmann property for non-unitary Wightman conformal field theories
James E. Tener
The Bisognano-Wichmann and Haag duality properties for algebraic quantum field theories are often studied using the powerful tools of Tomita-Takesaki modular theory for nets of ope…
Non-unitary Wightman CFTs and non-unitary vertex algebras
Sebastiano Carpi, Christopher Raymond, Yoh Tanimoto +1
We give an equivalence of categories between: (i) Möbius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-un…
Unitary vertex algebras and Wightman conformal field theories
Christopher Raymond, Yoh Tanimoto, James E. Tener
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 conform…
Fusion and positivity in chiral conformal field theory
James E. Tener
In this article we show that the conformal nets corresponding to WZW models are rational, resolving a long-standing open problem. Specifically, we show that the Jones-Wassermann su…
Classification of extremal vertex operator algebras with two simple modules
J. Connor Grady, Ching Hung Lam, James E. Tener +1
In recent work, Wang and the third author defined a class of 'extremal' vertex operator algebras (VOAs), consisting of those with at least two simple modules and conformal dimensio…
Representation theory in chiral conformal field theory: from fields to observables
James E. Tener
This article develops new techniques for understanding the relationship between the three different mathematical formulations of two-dimensional chiral conformal field theory: conf…