conformal field theory


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PDF An Introduction to Conformal Field Theory

From an abstract point of view conformal field theories are Euclidean quantum field theories that are characterised by the property that their symmetry group contains in addition to the Euclidean symmetries local conformal transformations i e transformations that preserve angles but not lengths

PDF Lectures on Conformal Field Theory arXiv:151104074v2 [hep-th

1 Lecture 1: Introduction and Motivation 1 1 Introduction and outline This course is about conformal eld theory These lectures notes are based on 8 3 hours of lectures given for graduate students Over the last several decades our understanding of conformal eld theories has advanced signi cantly

PDF INTRODUCTION TO CONFORMAL FIELD THEORY AND STRING

I give an elementary introduction to conformal field theory and its applications to string theory I INTRODUCTION: These lectures are meant to provide a brief 

PDF Conformal Field Theory

Conformal field theory (CFT) has been an important tool in theoretical physics in the last 30 years This is linked to the fact that conformal field 

PDF 4 Introducing Conformal Field Theory

A conformal field theory (CFT) is a field theory which is invariant under these transfor- mations This means that the physics of the theory looks the same 

  • What is a conformal transformation in field theory?

    Conformal transformations are coordinate trans- formations that preserve the angles (i.e. scalar products) between vectors in a space (or space-time).
    Several excellent treatments of Conformal Field Theory in the literature which have inspired the presentation of this topic in this book.

  • In quantum field theory, conformal symmetry plays a crucial role in both QED and QCD.
    In QED, conformal symmetry is used to describe the behavior of electromagnetic fields and the interactions between charged particles.

  • What is basic conformal field theory?

    A conformal field theory (CFT) is a field theory which is invariant under these transfor- mations.
    This means that the physics of the theory looks the same at all length scales.
    Conformal field theories care about angles, but not about distances.

  • What is conformal field theory action?

    A conformal field theory is unitary if its space of states has a positive definite scalar product such that the dilation operator is self-adjoint.
    Then the scalar product endows the space of states with the structure of a Hilbert space.

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