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Mathematical Foundations of Supersymmetry

Claudio Carmeli Università di Genova, Genova, Italy
Lauren Caston RAND Corporation, Santa Monica, CA
Rita Fioresi Università di Bologna, Bologna, Italy
A publication of European Mathematical Society
Available Formats:
Softcover ISBN: 978-3-03719-097-5
Product Code: EMSSERLEC/15
263 pp
List Price: $58.00 AMS Member Price:$46.40
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Mathematical Foundations of Supersymmetry
Claudio Carmeli Università di Genova, Genova, Italy
Lauren Caston RAND Corporation, Santa Monica, CA
Rita Fioresi Università di Bologna, Bologna, Italy
A publication of European Mathematical Society
Available Formats:
 Softcover ISBN: 978-3-03719-097-5 Product Code: EMSSERLEC/15 263 pp
 List Price: $58.00 AMS Member Price:$46.40
• Book Details

EMS Series of Lectures in Mathematics
Volume: 152011
MSC: Primary 58; 14; 17; 32; 81;

Supersymmetry is a highly active area of considerable interest among physicists and mathematicians. It is not only fascinating in its own right, but there is also indication that it plays a fundamental role in the physics of elementary particles and gravitation.

The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive introduction to the language and techniques, as well as detailed proofs and many clarifying examples.

This book is aimed ideally at second-year graduate students. After the first three introductory chapters, the text is divided into two parts: the theory of smooth supermanifolds and Lie supergroups, including the Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices. The first introduces Lie superalgebras and representations of classical Lie superalgebras, the second collects some relevant facts on categories, sheafification of functors and commutative algebra, and the third explains the notion of Fréchet space in the super context.

Graduate students and research mathematicians interested in analysis.

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Volume: 152011
MSC: Primary 58; 14; 17; 32; 81;

Supersymmetry is a highly active area of considerable interest among physicists and mathematicians. It is not only fascinating in its own right, but there is also indication that it plays a fundamental role in the physics of elementary particles and gravitation.

The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive introduction to the language and techniques, as well as detailed proofs and many clarifying examples.

This book is aimed ideally at second-year graduate students. After the first three introductory chapters, the text is divided into two parts: the theory of smooth supermanifolds and Lie supergroups, including the Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices. The first introduces Lie superalgebras and representations of classical Lie superalgebras, the second collects some relevant facts on categories, sheafification of functors and commutative algebra, and the third explains the notion of Fréchet space in the super context.