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Mathematical Foundations of Supersymmetry
EMS Series of Lectures in Mathematics

Claudio Carmeli (University of Genova, Italy)
Lauren Caston (RAND Corporation, Santa Monica, CA, USA)
Rita Fioresi (University of Bologna, Italy)

Mathematical Foundations of Supersymmetry

ISBN print 978-3-03719-097-5, ISBN online 978-3-03719-597-0
DOI 10.4171/097
August 2011, 300 pages, softcover, 17 x 24 cm.
42.00 Euro

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, with a special attention to giving detailed proofs and many clarifying examples. It is aimed ideally at a second year graduate student. After the first three introductory chapters, the text divides 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 introducing Lie superalgebras and representations of classical Lie superalgebras, the second collecting some relevant facts on categories, sheafification of functors and commutative algebra, and the third explaining the notion of Fr├ęchet space in the super context.

Keywords: Supermanifolds, supersymmetry, superschemes, Lie superalgebras

Further Information

Review in Zentralblatt MATH 1226.58003

MAA Reviews

Review in MR 2840967