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Supersymmetry for Mathematicians: An Introduction
 
V. S. Varadarajan University of California, Los Angeles, CA
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Supersymmetry for Mathematicians: An Introduction
Softcover ISBN:  978-0-8218-3574-6
Product Code:  CLN/11
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-3111-2
Product Code:  CLN/11.E
List Price: $46.00
MAA Member Price: $41.40
AMS Member Price: $36.80
Softcover ISBN:  978-0-8218-3574-6
eBook: ISBN:  978-1-4704-3111-2
Product Code:  CLN/11.B
List Price: $95.00 $72.00
MAA Member Price: $85.50 $64.80
AMS Member Price: $76.00 $57.60
Supersymmetry for Mathematicians: An Introduction
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Supersymmetry for Mathematicians: An Introduction
V. S. Varadarajan University of California, Los Angeles, CA
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
Softcover ISBN:  978-0-8218-3574-6
Product Code:  CLN/11
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-3111-2
Product Code:  CLN/11.E
List Price: $46.00
MAA Member Price: $41.40
AMS Member Price: $36.80
Softcover ISBN:  978-0-8218-3574-6
eBook ISBN:  978-1-4704-3111-2
Product Code:  CLN/11.B
List Price: $95.00 $72.00
MAA Member Price: $85.50 $64.80
AMS Member Price: $76.00 $57.60
  • Book Details
     
     
    Courant Lecture Notes
    Volume: 112004; 300 pp
    MSC: Primary 58; 17; 22; Secondary 14; 32

    Supersymmetry has been studied by theoretical physicists since the early 1970s. Nowadays, because of its novelty and significance—in both mathematics and physics—the issues it raises attract the interest of mathematicians.

    Written by the well-known mathematician, V. S. Varadarajan, this book presents a cogent and self-contained exposition of the foundations of supersymmetry for the mathematically-minded reader. It begins with a brief introduction to the physical foundations of the theory, in particular, to the classification of relativistic particles and their wave equations, such as those of Dirac and Weyl. It then continues with the development of the theory of supermanifolds, stressing the analogy with the Grothendieck theory of schemes. Here, Varadarajan develops all the super linear algebra needed for the book and establishes the basic theorems: differential and integral calculus in supermanifolds, Frobenius theorem, foundations of the theory of super Lie groups, and so on. A special feature is the in-depth treatment of the theory of spinors in all dimensions and signatures, which is the basis of all supergeometry developments in both physics and mathematics, especially in quantum field theory and supergravity.

    The material is suitable for graduate students and mathematicians interested in the mathematical theory of supersymmetry. The book is recommended for independent study.

    For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis, The Selected Works of V.S. Varadarajan, and Algebra in Ancient and Modern Times.

    Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

    Readership

    Graduate students and research mathematicians interested in the mathematical theory of supersymmetry

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Introduction
    • Chapter 2. The concept of a supermanifold
    • Chapter 3. Super linear algebra
    • Chapter 4. Elementary theory of supermanifolds
    • Chapter 5. Clifford algebras, spin groups, and spin representations
    • Chapter 6. Fine structure of spin modules
    • Chapter 7. Superspacetimes and super Poincaré groups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 112004; 300 pp
MSC: Primary 58; 17; 22; Secondary 14; 32

Supersymmetry has been studied by theoretical physicists since the early 1970s. Nowadays, because of its novelty and significance—in both mathematics and physics—the issues it raises attract the interest of mathematicians.

Written by the well-known mathematician, V. S. Varadarajan, this book presents a cogent and self-contained exposition of the foundations of supersymmetry for the mathematically-minded reader. It begins with a brief introduction to the physical foundations of the theory, in particular, to the classification of relativistic particles and their wave equations, such as those of Dirac and Weyl. It then continues with the development of the theory of supermanifolds, stressing the analogy with the Grothendieck theory of schemes. Here, Varadarajan develops all the super linear algebra needed for the book and establishes the basic theorems: differential and integral calculus in supermanifolds, Frobenius theorem, foundations of the theory of super Lie groups, and so on. A special feature is the in-depth treatment of the theory of spinors in all dimensions and signatures, which is the basis of all supergeometry developments in both physics and mathematics, especially in quantum field theory and supergravity.

The material is suitable for graduate students and mathematicians interested in the mathematical theory of supersymmetry. The book is recommended for independent study.

For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis, The Selected Works of V.S. Varadarajan, and Algebra in Ancient and Modern Times.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Readership

Graduate students and research mathematicians interested in the mathematical theory of supersymmetry

  • Chapters
  • Chapter 1. Introduction
  • Chapter 2. The concept of a supermanifold
  • Chapter 3. Super linear algebra
  • Chapter 4. Elementary theory of supermanifolds
  • Chapter 5. Clifford algebras, spin groups, and spin representations
  • Chapter 6. Fine structure of spin modules
  • Chapter 7. Superspacetimes and super Poincaré groups
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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