A Mathematical Introduction to Conformal Field Theory Hardcover - 2008
by Martin Schottenloher
From the rear cover
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 developments has also been added.
Details
- Title A Mathematical Introduction to Conformal Field Theory
- Author Martin Schottenloher
- Binding Hardcover
- Edition 2nd
- Pages 249
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2008-09-26
- Illustrated Yes
- ISBN 9783540686255 / 3540686258
- Weight 1.15 lbs (0.52 kg)
- Dimensions 9.4 x 6.3 x 0.8 in (23.88 x 16.00 x 2.03 cm)
- Dewey Decimal Code 512
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A Mathematical Introduction to Conformal Field Theory
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A Mathematical Introduction to Conformal Field Theory (Lecture Notes in Physics)
by Martin Schottenloher
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