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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

  • Book
  • © 1997

Overview

Authors:
  1. Martin Schottenloher

    1. Mathernatisches Institut, LMU München, München, Germany

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Introduction

      Pages 1-2

  5. Back Matter

    Pages 132-142
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Keywords

About this book

Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. 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. Part II surveys 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.

Authors and Affiliations

  • Mathernatisches Institut, LMU München, München, Germany

    Martin Schottenloher

Bibliographic Information

  • Book Title: A Mathematical Introduction to Conformal Field Theory

  • Book Subtitle: Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg

  • Authors: Martin Schottenloher

  • Series Title: Lecture Notes in Physics Monographs

  • DOI: https://doi.org/10.1007/978-3-540-70690-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • eBook ISBN: 978-3-540-70690-8Published: 15 September 2008

  • Series ISSN: 0940-7677

  • Edition Number: 1

  • Number of Pages: VIII, 144

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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