A Mathematical Introduction to Conformal Field Theory

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 appearance of the Virasoro algebra in the context of...

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主要作者: Schottenloher, Martin, 1944-
格式: Livre numérique
語言:Anglais
出版: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
版:2.
叢編:Lecture Notes in Physics 759
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Edition sous un autre format:• A mathematical introduction to conformal field theory, M. Schottenloher, 2nd edition, 2008, Berlin, Springer, 1 vol. (XV-249 p.), Lecture notes in physics, 978-3-540-68625-5
書本目錄:
  • 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 Toward Conformal Field Theory Representation Theory of the Virasoro Algebra String Theory as a Conformal Field Theory Axioms of Relativistic Quantum Field Theory Foundations of Two-Dimensional Conformal Quantum Field Theory Vertex Algebras Mathematical Aspects of the Verlinde Formula Appendix A