Conformal Field Theory

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Springer Science & Business Media, Dec 6, 2012 - Science - 890 pages
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
 

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Contents

Introduction
3
Quantum Field Theory
15
Statistical Mechanics
60
Global Conformal Invariance 95
94
Conformal Invariance in Two Dimensions
111
The Operator Formalism
150
Minimal Models I
200
Minimal Models II
239
The TwoDimensional Ising Model
439
Simple Lie Algebras
489
Affine Lie Algebras
556
WZW Models
617
Fusion Rules in WZW Models
675
Modular Invariants in WZW Models
719
Šu3
766
Cosets
797

The CoulombGas Formalism
294
the CoulombGas Representation of Minimal Models
320
Modular Invariance
335
FiniteSize Scaling and Boundaries
409

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