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: An
    title: Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry
  name:
    name part: Melnikov, Ilarion V.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 482 p. 90 illus. online resource.
  abstract: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important ope…
  table of contents: Preface -- (0,2) Fundamentals.-Conformalities -- Landau-Ginzburg theories -- Heterotic Non-linear Sigma Models -- Gauged Linear Sigma Models.
  note: by Ilarion V. Melnikov.
  subject:
    topic: Quantum field theory
  subject:
    topic: String theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Elementary particles (Physics)
  subject:
    topic: Quantum Field Theories, String Theory
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Elementary Particles, Quantum Field Theory
  classification: QC174.45-174.52
  classification: 530.14
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Physics, 951
  identifier: 9783030050856
  identifier: https://doi.org/10.1007/978-3-030-05085-6
  record info:
    record creation date: 190211
    record change date: 20191022122330.0
    record identifier: 978-3-030-05085-6