rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: mathematical introduction to conformal field theory
  name:
    name part: Schottenloher, Martin
    name part: 1944-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  name:
    name part: Universität Hamburg
    name part: Mathematisches Seminar.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (viii, 142 pages) : illustrations.
  abstract: 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.
  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.
  note: Martin Schottenloher.
  note: "Based on a series of lectures given at the Mathematisches Institut der Universität Hamburg."
  note: Electronic resource.
  note: Includes bibliographical references (pages [132]-137) and index.
  subject:
    topic: Conformal invariants
  subject:
    topic: Quantum field theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Conformal invariants
  subject:
    topic: Mathematical physics
  subject:
    topic: Quantum field theory
  classification: QC174.52.C66 S36 1997
  classification: 530.14/3
  related item:
    title info:
      title: Mathematical introduction to conformal field theory
    name:
      name part: Schottenloher, Martin, 1944-
    origin info:
      publisher: Berlin ; New York : Springer, ©1997
    identifier: (DLC) 97007263
    identifier: (OCoLC)36438863
  related item:
    title info:
      title: Lecture notes in physics. m43
      part number: New series m
      part name: Monographs
  identifier: 9783540706908 (electronic bk.)
  identifier: 3540706909 (electronic bk.)
  identifier: 3540617531
  identifier: 9783540617532
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNP
    record creation date: 081106
    record change date: 20260420202953.5
    record identifier: in00003515569
    language of cataloging:
      language term: eng