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A mathematical introduction to conformal field theory

Author: Martin Schottenloher
Publisher: Berlin : Springer, ©2008.
Series: Lecture notes in physics, 759.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
"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. 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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Martin Schottenloher
ISBN: 9783540686255 3540686258 3540686282 9783540686286
OCLC Number: 231885814
Description: xv, 249 pages : illustrations ; 24 cm.
Contents: pt. 1. Mathematical preliminaries. Conformal transformations and conformal killing fields --
The conformal group --
Central extensions of groups --
Central extensions of Lie algebras and Bargmann's theorem --
The Virasoro algebra --
pt. 2. Steps toward conformal field theory. Representation theory of the Virasoro algebra --
String theory as a conformal field theory --
Axioms of relativistic quantum field theory --
Foundations of two-dimensional conformal quantum field theory --
Vertex algebras --
Mathematical aspects of the Verlinde formula --
Some further developments.
Series Title: Lecture notes in physics, 759.
Responsibility: M. Schottenloher.

Abstract:

The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part  Read more...

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From the reviews of the second edition:"The book under review is the second ... edition of the original text, thereby reflecting various recent developments in the field during the past ten years, on Read more...

 
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