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math.OA2025
Every conformal net has an associated unitary VOA
André G. Henriques, James E. Tener
Unitary vertex operator algebras (VOAs) and conformal nets are the two most prominent mathematical axiomatizations of two-dimensional unitary chiral conformal field theories. They…
math.FA2025
Integrating positive energy representations of the Virasoro algebra
André G. Henriques, James E. Tener
We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators…
math-ph2025
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…