Conformal Field Theory

Front Cover
World Scientific, 1995 - Science - 486 pages
Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and ?conformal? intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.
 

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Contents

Chapter I Conformal Symmetry and Fields
1
Chapter II Representations of the Virasoro Algebra
35
Chapter III Partition Functions and Bosonization
83
Chapter IV AKM Algebras and WZNW Theories
113
Chapter V Superconformal and SuperAKM Symmetries
143
Chapter VI Coset Models
169
Chapter VII W Algebras
199
Chapter VIII Conformal Field Theory and Strings
231
Chapter IX Quantum 2d Gravity and Topological Field Theories
283
Chapter X CFT and Matrix Models
317
Chapter XI CFT and Integrable Models
351
Chapter XII Comments
383
Bibliography
433
Text Abbreviations
475
Index
477
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