A Mathematical Introduction to Conformal Field Theory
The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of...
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Corporate Author: | |
Language: | English |
Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
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Edition: | 2nd ed. 2008. |
Series: | Lecture Notes in Physics,
759 |
Subjects: | |
Online Access: | https://doi.org/10.1007/978-3-540-68628-6 |
Table of Contents:
- Mathematical Preliminaries
- Conformal Transformations and Conformal Killing Fields
- The Conformal Group
- Central Extensions of Groups
- Central Extensions of Lie Algebras and Bargmann’s Theorem
- The Virasoro Algebra
- First Steps Toward Conformal Field Theory
- Representation Theory of the Virasoro Algebra
- String Theory as a Conformal Field Theory
- Axioms of Relativistic Quantum Field Theory
- Foundations of Two-Dimensional Conformal Quantum Field Theory
- Vertex Algebras
- Mathematical Aspects of the Verlinde Formula
- Appendix A.