A mathematical introduction to conformal field theory : based on a Series of Lectures given at the Mathematisches Institut der Universitat Hamburg / Martin Schottenloher
- 作者: Schottenloher, Martin.
- 其他作者:
- 其他題名:
- Springer e-books
- Based on a Series of Lectures given at the Mathematisches Institut der Universitat Hamburg
- 出版: Berlin ;New York : Springer c1997
- 叢書名: Lecture notes in physics.. New series m, Monographs ;m43
- 主題: Quantum field theory. , Conformal invariants. , Mathematical physics.
- ISBN: 9783540617532 (paper)
- URL:
電子書
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讀者標籤:
- 系統號: 005166449 | 機讀編目格式
館藏資訊

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.