A Mathematical Introduction to Conformal Field Theory

Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg

Authors:

ISBN: 978-3-540-61753-2 (Print) 978-3-540-70690-8 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages I-VIII

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-2

      Introduction

  3. Mathematical Preliminaries

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      Book Chapter

      Pages 3-19

      Conformal Transformations and Conformal Killing Fields

    2. No Access

      Book Chapter

      Pages 20-35

      The Conformal Group

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      Book Chapter

      Pages 36-46

      Central Extensions of Groups

    4. No Access

      Book Chapter

      Pages 47-55

      Central Extensions of Lie Algebras and Bargmann’s Theorem

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      Book Chapter

      Pages 56-64

      The Virasoro Algebra

  4. First Steps Towards Conformal Field Theory

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      Book Chapter

      Pages 65-75

      Representation Theory of the Virasoro Algebra

    2. No Access

      Book Chapter

      Pages 76-77

      Projective Representations of Diff+ ( $ \mathbb{S} $ ) and More

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      Book Chapter

      Pages 78-94

      String Theory as a Conformal Field Theory

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      Book Chapter

      Pages 95-109

      Foundations of Two-Dimensional Conformal Quantum Field Theory

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      Book Chapter

      Pages 110-131

      Mathematical Aspects of the Verlinde Formula

  5. Back Matter

    Pages 132-142