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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2008, 2008
|
| Edition: | 2nd ed. 2008 |
| Series: | Lecture Notes in Physics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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.