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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Schottenloher, Martin (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:2nd ed. 2008.
Series:Lecture Notes in Physics, 759
Subjects:
Mathematical physics.
Global analysis (Mathematics).
Manifolds (Mathematics).
Elementary particles (Physics).
Quantum field theory.
Algebra.
Mathematical Methods in Physics.
Global Analysis and Analysis on Manifolds.
Elementary Particles, Quantum Field Theory.
Online Access:Texto Completo
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.

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