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A mathematical introduction to conformal field theory PDF

153 Pages·1997·7.949 MB·English
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by Martin Schottenloher| 1997| 153 pages| 7.949| English

About A mathematical introduction to conformal field theory

Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. 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. Part II surveys 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.

Detailed Information

Author:Martin Schottenloher
Publication Year:1997
ISBN:3540617531
Pages:153
Language:English
File Size:7.949
Format:PDF
Price:FREE
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