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Science/Engineering A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics)

Posted on 2010-03-15




Name:Science/Engineering A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics)
ASIN/ISBN:3540686258
Language:English
File size:3 Mb
ISBN: 3540686258
Publish Date: 2008
File Type: PDF
Pages: 252 pages
File Size: 3 Mb
Other Info: Springer
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A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics)

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 presents several different approaches to conformal field theory and surveys more advanced topics, 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 recent developments has also been added.

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