A Mathematical introduction to conformal field theory : based on a series of lectures given at the Mathematisches Institut der Universität Hamburg

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...

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Detalles Bibliográficos
Autor principal: Schottenloher, Martin, 1944-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colección:Lecture notes in physics. M, Monographs 43
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Edition sous un autre format:• A Mathematical introduction to conformal field theory, Martin Schottenloher, 1997, Berlin, Springer, 1 vol. (VIII-142 p.), Lecture notes in physics, 3-540-61753-1
• A Mathematical Introduction to Conformal Field Theory, Texte imprimé, 9783662141311
• A Mathematical Introduction to Conformal Field Theory, Texte imprimé, 9783662141328
Tabla de Contenidos:
  • 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
  • First Steps Towards Conformal Field Theory
  • Representation Theory of the Virasoro Algebra
  • Projective Representations of Diff+ ( ) and More
  • String Theory as a Conformal Field Theory
  • Foundations of Two-Dimensional Conformal Quantum Field Theory
  • Mathematical Aspects of the Verlinde Formula.