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 appearence of the Virasoro algebra in the context of...

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Bibliographic Details
Main Author: Schottenloher, Martin, 1944-
Corporate Authors: SpringerLink (Online service), Universität Hamburg. Mathematisches Seminar
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1997]
Series:Lecture notes in physics. Monographs ; m43.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • I. 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
  • II. First Steps Towards Conformal Field Theory
  • Projective Representations of Diff+ (S) and More
  • String Theory as a Conformal Field Theory
  • Foundations of Two-Dimensional Conformal Quantum Field Theory
  • Mathematical Aspects of the Verlinde Formula
  • References
  • Index.