Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution

  • Malte Henkel
  • Dragi Karevski

Part of the Lecture Notes in Physics book series (LNP, volume 853)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Malte Henkel, Dragi Karevski
    Pages 1-49
  3. Jesper Lykke Jacobsen
    Pages 141-183
  4. Back Matter
    Pages 185-189

About this book


Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties.


Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.


Schramm-Loewner Evolution (SLE) boundary CFT boundary conformal theory conformal field theory conformal invariance critical phenomena loop models stochastic processes virasoro algebra

Editors and affiliations

  • Malte Henkel
    • 1
  • Dragi Karevski
    • 2
  1. 1.CNRS - Nancy Université - UPVM, Dépt. de Physique de la Matière et desInstitut Jean LamourVandoeuvre lès Nancy CedexFrance
  2. 2.IJL- Institut Jean Lamour- UMR 7198, Faculté des Sciences et TechniquesNancy UniversitéVandoeuvre-lès-Nancy CedexFrance

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