Softcover ISBN:  9780821813966 
Product Code:  ULECT/10.R 
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eBook ISBN:  9781470421595 
Product Code:  ULECT/10.R.E 
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AMS Member Price:  $52.00 
Softcover ISBN:  9780821813966 
eBook: ISBN:  9781470421595 
Product Code:  ULECT/10.R.B 
List Price:  $134.00 $101.50 
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AMS Member Price:  $107.20 $81.20 
Softcover ISBN:  9780821813966 
Product Code:  ULECT/10.R 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $55.20 
eBook ISBN:  9781470421595 
Product Code:  ULECT/10.R.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
Softcover ISBN:  9780821813966 
eBook ISBN:  9781470421595 
Product Code:  ULECT/10.R.B 
List Price:  $134.00 $101.50 
MAA Member Price:  $120.60 $91.35 
AMS Member Price:  $107.20 $81.20 

Book DetailsUniversity Lecture SeriesVolume: 10; 1998; 201 ppMSC: Primary 17; Secondary 81
This is a revised and expanded edition of Kac's original introduction to algebraic aspects of conformal field theory, which was published by the AMS in 1996. The volume serves as an introduction to algebraic aspects of conformal field theory, which in the past 15 years revealed a variety of unusual mathematical notions. Vertex algebra theory provides an effective tool to study them in a unified way.
In the book, a mathematician encounters new algebraic structures that originated from Einstein's special relativity postulate and Heisenberg's uncertainty principle. A physicist will find familiar notions presented in a more rigorous and systematic way, possibly leading to a better understanding of foundations of quantum physics.
This revised edition is based on courses given by the author at MIT and at Rome University in spring 1997. New material is added, including the foundations of a rapidly growing area of algebraic conformal theory. Also, in some places the exposition has been significantly simplified.
ReadershipGraduate students, research mathematicians and physicists working in mathematical aspects of quantum field theory.

Table of Contents

Chapters

Preface

Preface to the second edition

Chapter 1. Wightman axioms and vertex algebras

Chapter 2. Calculus of formal distributions

Chapter 3. Local fields

Chapter 4. Structure theory of vertex algebras

Chapter 5. Examples of vertex algebras and their applications


Additional Material

Reviews

Very good introductional book on vertex algebras.
Zentralblatt MATH 
Essential reading for anyone trying to learn about vertex algebras ... well worth buying for experts.
Bulletin of the London Mathematical Society


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This is a revised and expanded edition of Kac's original introduction to algebraic aspects of conformal field theory, which was published by the AMS in 1996. The volume serves as an introduction to algebraic aspects of conformal field theory, which in the past 15 years revealed a variety of unusual mathematical notions. Vertex algebra theory provides an effective tool to study them in a unified way.
In the book, a mathematician encounters new algebraic structures that originated from Einstein's special relativity postulate and Heisenberg's uncertainty principle. A physicist will find familiar notions presented in a more rigorous and systematic way, possibly leading to a better understanding of foundations of quantum physics.
This revised edition is based on courses given by the author at MIT and at Rome University in spring 1997. New material is added, including the foundations of a rapidly growing area of algebraic conformal theory. Also, in some places the exposition has been significantly simplified.
Graduate students, research mathematicians and physicists working in mathematical aspects of quantum field theory.

Chapters

Preface

Preface to the second edition

Chapter 1. Wightman axioms and vertex algebras

Chapter 2. Calculus of formal distributions

Chapter 3. Local fields

Chapter 4. Structure theory of vertex algebras

Chapter 5. Examples of vertex algebras and their applications

Very good introductional book on vertex algebras.
Zentralblatt MATH 
Essential reading for anyone trying to learn about vertex algebras ... well worth buying for experts.
Bulletin of the London Mathematical Society