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Infinite Dimensional Groups and Algebras in Quantum Physics

  • Johnny T. Ottesen

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 27)

Table of contents

About this book

Introduction

The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group. A constructive approach is chosen. The author discusses loop algebras and the Virasoro algebra and gives applications in the last chapter. The text addresses graduate students and is of considerable interest to researchers due to a novel approach closer to the traditional line of reasoning in quantum physics.

Keywords

conformal field theory quantum physics string theory

Authors and affiliations

  • Johnny T. Ottesen
    • 1
  1. 1.Department of Studies in Mathematics and Physics, and their Functions in Education, Research and ApplicationsRoskilde UniversityRoskildeDenmark

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-49141-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58914-3
  • Online ISBN 978-3-540-49141-5
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site
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