Volume 759 2008

A Mathematical Introduction to Conformal Field Theory

Authors:

ISBN: 978-3-540-68625-5 (Print) 978-3-540-68628-6 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-3

  2. Mathematical Preliminaries

    1. Front Matter

      Pages 5-6

    2. No Access

      Book Chapter

      Pages 7-21

      Conformal Transformations and Conformal Killing Fields

    3. No Access

      Book Chapter

      Pages 23-38

      The Conformal Group

    4. No Access

      Book Chapter

      Pages 39-62

      Central Extensions of Groups

    5. No Access

      Book Chapter

      Pages 63-73

      Central Extensions of Lie Algebras and Bargmann’s Theorem

    6. No Access

      Book Chapter

      Pages 75-85

      The Virasoro Algebra

  3. First Steps Toward Conformal Field Theory

    1. Front Matter

      Pages 87-89

    2. No Access

      Book Chapter

      Pages 91-102

      Representation Theory of the Virasoro Algebra

    3. No Access

      Book Chapter

      Pages 103-120

      String Theory as a Conformal Field Theory

    4. No Access

      Book Chapter

      Pages 121-152

      Axioms of Relativistic Quantum Field Theory

    5. No Access

      Book Chapter

      Pages 153-170

      Foundations of Two-Dimensional Conformal Quantum Field Theory

    6. No Access

      Book Chapter

      Pages 171-212

      Vertex Algebras

    7. No Access

      Book Chapter

      Pages 213-233

      Mathematical Aspects of the Verlinde Formula

    8. No Access

      Book Chapter

      Pages 235-237

      Appendix A

  4. Back Matter

    Pages 239-249