29 citations · 119 across the 22 of their papers we have counts for
23 papers
A genus zero functorial CFT associated to the vacuum sector of a conformal net
André G. Henriques, James E. Tener
Starting from an arbitrary conformal net, we construct a genus zero functorial conformal field theory whose Hilbert space is the vacuum sector of the net. Specifically, we construc…
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…
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…
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…
The Segal-Neretin semigroup of annuli
André G. Henriques, James E. Tener
The Lie algebra of vector fields on integrates to the Lie group of diffeomorphisms of . It is well known since the work of Segal and Neretin that there is no Lie group w…
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…