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# A Mathematical Introduction to Conformal Field Theory

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## Description

There is also the comprehensive collection of ar- clesbyDeligne,Freed,Witten,andothersin[Del99*]aimingtogiveanintroduction to strings and quantum ?eld theory for mathematicians where conformal ?eld theory is one of the main parts of the text. The present expanded notes complement these publications by giving an elementary and comparatively short mathematics-oriented introduction focusing on some main principles.

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## Product details

- Hardback | 249 pages
- 155 x 235 x 20.32mm | 1,220g
- 04 Dec 2008
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Berlin, Germany
- English
- Revised
- 2nd ed. 2008
- XV, 249 p.
- 3540686258
- 9783540686255
- 1,839,565

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## Back cover copy

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.

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## Table of contents

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## Review Text

"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 the one hand, and making especially the physics part of the notes more detailed, self-contained and tutorial on the other. ... this highly appreciated mediator between contemporary mathematics and physical quantum field theory has grown into an even more valuable source for students, teachers, and active researchers in this fascinating area of modern science." (Werner Kleinert, Zentralblatt MATH, Vol. 1161, 2009)

"The second edition of this classical introduction to conformal field theory for a mathematically oriented audience has been substantially revised and expanded ... . many new examples and statements have been included throughout the whole text. ... Completeness, the extremely clear exposition and well-chosen references at the end of each chapter make this introduction an unmissable reference for the mathematician aiming to learn the basics of conformal field theory." (Domenico Fiorenza, Mathematical Reviews, Issue 2011 a)

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## Review quote

"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 the one hand, and making especially the physics part of the notes more detailed, self-contained and tutorial on the other. ... this highly appreciated mediator between contemporary mathematics and physical quantum field theory has grown into an even more valuable source for students, teachers, and active researchers in this fascinating area of modern science." (Werner Kleinert, Zentralblatt MATH, Vol. 1161, 2009)

"The second edition of this classical introduction to conformal field theory for a mathematically oriented audience has been substantially revised and expanded ... . many new examples and statements have been included throughout the whole text. ... Completeness, the extremely clear exposition and well-chosen references at the end of each chapter make this introduction an unmissable reference for the mathematician aiming to learn the basics of conformal field theory." (Domenico Fiorenza, Mathematical Reviews, Issue 2011 a)

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