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A Mathematical Introduction to Conformal Field Theory

Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg

  • Martin Schottenloher

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 43)

Table of contents

About this book

Introduction

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 the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.
This book is an important text for researchers and graduate students.

Keywords

Konforme Feldtheorie Konforme Gruppe Modulraum stabiler Vektorbündel Verlinde-Formel Virasoro-Algebra conformal field theory conformal groups moduli spaces of holormorphic vector bundles quantum field theory string theory verlinde formula virasoro algebra

Authors and affiliations

  • Martin Schottenloher
    • 1
  1. 1.Mathernatisches InstitutLMU MünchenMünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-70690-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61753-2
  • Online ISBN 978-3-540-70690-8
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site