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EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions

  • Book
  • © 2017

Overview

Authors:
  1. Slava Rychkov

    1. Theory Division, PH-TH Case C01600, CERN Theory Division, PH-TH Case C01600, Geneva 23, Switzerland

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Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Physical Foundations of Conformal Symmetry

    • Slava Rychkov
    Pages 1-17

  3. Conformal Kinematics

    • Slava Rychkov
    Pages 19-35

  4. Radial Quantization and OPE

    • Slava Rychkov
    Pages 37-54

  5. Conformal Bootstrap

    • Slava Rychkov
    Pages 55-72
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Keywords

About this book

This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory.

The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone – a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap.

Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike.

Reviews

“The book arises from EPFL lectures carried out in 2012. … certainly recommended for students which are interested in Conformal Field Theory. … it is well exposed, well written, and contains the argumentation in the level of its necessity.” (J. M. Hoff da Silva, zbMATH, Vol. 1365.81007, 2017)  

Authors and Affiliations

  • Theory Division, PH-TH Case C01600, CERN Theory Division, PH-TH Case C01600, Geneva 23, Switzerland

    Slava Rychkov

About the author

Prof. Vyacheslav (Slava) Rychkov obtained his Ph.D. in 2002 from Princeton University. Since 2012 he has been a staff member at CERN. In 2014 he was awarded the 'New Horizons in Physics Prize' for his work on conformal field theory. 

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