On revolutionizing quantum field theory with Tomita's modular theory
HJ Borchers - Journal of mathematical Physics, 2000 - pubs.aip.org
In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …
quantum field theory the main results are obtained by the older methods of C*-and W …
Modular localization and Wigner particles
We propose a framework for the free field construction of algebras of local observables
which uses as an input the Bisognano–Wichmann relations and a representation of the …
which uses as an input the Bisognano–Wichmann relations and a representation of the …
Multi-interval subfactors and modularity¶ of representations in conformal field theory
We describe the structure of the inclusions of factors?(E)⊂?(E′)′ associated with multi-
intervals E⊂ ℝ for a local irreducible net? of von Neumann algebras on the real line …
intervals E⊂ ℝ for a local irreducible net? of von Neumann algebras on the real line …
Classification of local conformal nets. Case c< 1
We completely classify diffeomorphism covariant local nets of von Neumann algebras on the
circle with central charge c less than 1. The irreducible ones are in bijective correspondence …
circle with central charge c less than 1. The irreducible ones are in bijective correspondence …
Covariant homogeneous nets of standard subspaces
Rindler wedges are fundamental localization regions in AQFT. They are determined by the
one-parameter group of boost symmetries fixing the wedge. The algebraic canonical …
one-parameter group of boost symmetries fixing the wedge. The algebraic canonical …
[HTML][HTML] From local nets to Euler elements
Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models
related to representations of the Poincaré group can be studied for general Lie groups …
related to representations of the Poincaré group can be studied for general Lie groups …
Wightman fields for two-dimensional conformal field theories with pointed representation category
Two-dimensional full conformal field theories have been studied in various mathematical
frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our …
frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our …
Topological sectors and a dichotomy in conformal field theory
Let be a local conformal net of factors on S 1 with the split property. We provide a topological
construction of soliton representations of the n-fold tensor product that restrict to true …
construction of soliton representations of the n-fold tensor product that restrict to true …
Conformal subnets and intermediate subfactors
R Longo - Communications in mathematical physics, 2003 - Springer
Given an irreducible local conformal net 𝒜 of von Neumann algebras on S 1 and a finite-
index conformal subnet ℬ⊂ 𝒜, we show that 𝒜 is completely rational iff ℬ is completely …
index conformal subnet ℬ⊂ 𝒜, we show that 𝒜 is completely rational iff ℬ is completely …
Antiunitary representations and modular theory
Antiunitary representations of Lie groups take values in the group of unitary and antiunitary
operators on a Hilbert space H. In quantum physics, antiunitary operators implement time …
operators on a Hilbert space H. In quantum physics, antiunitary operators implement time …