# Chirality in 2d pAQFT

@inproceedings{Crawford2022ChiralityI2, title={Chirality in 2d pAQFT}, author={Simon Crawford and Kasia Rejzner and Beno{\^i}t Vicedo}, year={2022} }

In this article, which builds upon the work done in [CRV21], the chiral aspects of 2 dcft on globally hyperbolic Lorentzian manifolds are developed and explored within the perturbative algebraic quantum ﬁeld theory ( p aqft ) framework. In the example of the massless scalar ﬁeld on globally hyperbolic 2-dimensional spacetimes, we identify the subalgebras of a given theory comprising only chiral (or anti-chiral) observables. These subalgebras are constructed explicitly, with the help of…

## References

SHOWING 1-10 OF 24 REFERENCES

### Vertex algebras for beginners

- Mathematics
- 1997

Preface. 1: Wightman axioms and vertex algebras. 1.1: Wightman axioms of a QFT. 1.2: d = 2 QFT and chiral algebras. 1.3: Definition of a vertex algebra. 1.4: Holomorphic vertex algebras. 2: Calculus…

### A Skeletal Model for 2d Conformal AQFTs

- Mathematics
- 2021

: A simple model for the localization of the category CLoc 2 of oriented and time-oriented globally hyperbolic conformal Lorentzian 2-manifolds at all Cauchy morphisms is constructed. This provides…

### Lorentzian 2D CFT from the pAQFT Perspective

- MathematicsAnnales Henri Poincaré
- 2022

We provide a detailed construction of the quantum theory of the massless scalar field on two-dimensional, globally hyperbolic (in particular, Lorentzian) manifolds using the framework of perturbative…

### Axioms for Euclidean Green's functions

- Mathematics
- 1973

We establish necessary and sufficient conditions for Euclidean Green's functions to define a unique Wightman field theory.

### The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis

- Mathematics
- 1983

### Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians

- Physics
- 2016

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn t require the…

### A mathematical introduction to conformal field theory

- Mathematics
- 1997

Mathematical Preliminaries.- Conformal Transformations and Conformal Killing Fields.- The Conformal Group.- Central Extensions of Groups.- Central Extensions of Lie Algebras and Bargmann's Theorem.-…

### THE PRINCIPLE OF LOCALITY AND QUANTUM FIELD THEORY ON (NON GLOBALLY HYPERBOLIC) CURVED SPACETIMES

- Mathematics
- 1992

In the context of a linear model (the covariant Klein Gordon equation) we review the mathematical and conceptual framework of quantum field theory on globally hyperbolic spacetimes, and address the…

### Singularity structure of the two-point function in quantum field theory in curved spacetime

- Mathematics
- 1978

In the point-splitting prescription for renormalizing the stress-energy tensor of a scalar field in curved spacetime, it is assumed that the anticommutator expectation valueG(x,…

### The star product in interacting quantum field theory

- MathematicsLetters in Mathematical Physics
- 2020

We propose a new formula for the star product in deformation quantization of Poisson structures related in a specific way to a variational problem for a function S , interpreted as the action…