期刊全称 | A Mathematical Introduction to Conformal Field Theory | 影响因子2023 | M. Schottenloher | 视频video | | 发行地址 | Includes supplementary material: | 学科分类 | Lecture Notes in Physics | 图书封面 |  | 影响因子 | .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 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..The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman‘s axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with most recent developme | Pindex | Book 2008Latest edition |
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