# Conformal quantum field theory in various dimensions

@article{Bischoff2009ConformalQF, title={Conformal quantum field theory in various dimensions}, author={M. Bischoff and Daniel Meise and Karl-Henning Rehren and Ingo Wagner}, journal={arXiv: Mathematical Physics}, year={2009} }

Various relations between conformal quantum field theories in one, two and four dimensions are explored. The intention is to obtain a better understanding of 4D CFT with the help of methods from lower dimensional CFT.

#### 10 Citations

Four-Dimensional Conformal Field Theory using Quaternions

- Physics
- 2015

We have built a constrained four-dimensional quaternion-parametrized conformal field theory using quaternion holomorphic functions as the generators of quaternionic conformal transformations. With… Expand

Infraparticles with Superselected Direction of Motion in Two-Dimensional Conformal Field Theory

- Physics, Mathematics
- 2011

Particle aspects of two-dimensional conformal field theories are investigated, using methods from algebraic quantum field theory. The results include asymptotic completeness in terms of (counterparts… Expand

Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG)

- Physics, Mathematics
- 2007

The main topics of this second part of a two-part essay are some consequences of the phenomenon of vacuum polarization as the most important physical manifestation of modular localization. Besides… Expand

Models in Boundary Quantum Field Theory Associated with Lattices and Loop Group Models

- Mathematics, Physics
- 2012

In this article we give new examples of models in boundary quantum field theory, i.e. local time-translation covariant nets of von Neumann algebras, using a recent construction of Longo and Witten,… Expand

Superconformal Invariants and Correlation Functions

- Mathematics
- 2012

Results of the past decade on global
conformal field theories within the framework of Wightman axioms
raise the question of possible analogues for theories with
superconformal symmetry. In this… Expand

Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I: The two antagonistic localizations and their asymptotic compatibility

- Physics, Mathematics
- 2010

Abstract It is shown that there are significant conceptual differences between QM and QFT which make it difficult to view the latter as just a relativistic extension of the principles of QM. At the… Expand

Modular dynamics in diamonds

- Physics, Mathematics
- 2010

We investigate the relation between the actions of Tomita-Takesaki modular operators for local von Neumann algebras in the vacuum for free massive and massless bosons in four dimensional Minkowskian… Expand

submitted to Foundations of Physics

- Physics
- 2010

It is shown that certain kinds of behavior, which hitherto were expected to be characteristic for classical gravity and quantum field theory in curved spacetime, as the infinite dimensional… Expand

Bondi-Metzner-Sachs Symmetry, Holography on Null-surfaces and Area Proportionality of “Light-slice” Entropy

- Physics, Mathematics
- 2011

It is shown that certain kinds of behavior, which hitherto were expected to be characteristic for classical gravity and quantum field theory in curved spacetime, as the infinite dimensional… Expand

1 50 9 . 07 77 9 v 1 [ h ept h ] 2 5 S ep 2 01 5 Four-dimensional conformal field theory using quaternions

- 2019

We build a four-dimensional quaternion-parametrized conf ormal field theory (QCFT) using quaternion holomorphic functions as the generators of quaternionic confor mal transformations. Taking the… Expand

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