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Introduction to Supersymmetry : Cambridge Monographs on Mathematical Physics - Peter G. O. Freund

Introduction to Supersymmetry

Cambridge Monographs on Mathematical Physics


Published: 30th May 1988
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Just as ordinary symmetries relate various forms of matter to each other, and various basic forces to each other, so the novel concept of supersymmetry relates (Fermi) matter to (Bose) force. It is the aim of this book to provide a brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The book starts with a physical motivation of supersymmetry, a presentation of the mathematics of Lie superalgebras, supergroups and superspace. Techniques for constructing manifestly globally supersymmetric field theories are given, using the superfield formalism. To allow for a clear flow of ideas, the basic ideas and techniques are worked out in low space dimensionalities where the formulae do not obscure the concepts. Generalizations to four space-time dimensions are then readily come by. Some quantum aspects are discussed. Possible phenomenological applications are not emphasized. Supergravities, locally supersymmetric theories are then considered in 4 and 11 dimensions, in component formalism. An introduction to supersymmetry will be of interest to postgraduate students and researchers in theoretical and particle physics, especially those working in quantum field theory, quantum gravity, general relativity and supergravity. The book will also be of interest to mathematicians with an interest in theoretical physics.

"...refreshingly unconventional...can be recommended to those looking for a brief and not overly technical exposition of supersymmetry." Nature

Supersymmetry: the physical and mathematical foundationsp. 1
From symmetry to supersymmetryp. 3
Lie superalgebrasp. 7
Spinors in d-dimensionsp. 15
Physical supersymmetriesp. 22
Particle contents of supermultipletsp. 29
Superspacep. 34
Lie supergroupsp. 37
Superfieldsp. 40
Integration on Grassmann algebrasp. 43
Globally supersymmetric theoriesp. 47
Supersymmetric point particle mechanicsp. 49
Pseudoclassical mechanics of superpoint particlesp. 54
Supersymmetric field theories in two space-time dimensionsp. 60
Spontaneous supersymmetry breakingp. 65
Vector and chiral superfields in four-dimensional space-timep. 71
The Wess-Zumino modelp. 75
The supersymmetric Maxwell and Yang-Mills theoriesp. 77
Supersymmetric quantum field theories and their applicationsp. 81
Finite quantum field theoriesp. 84
The supercurrent and anomaly supermultipletsp. 90
Supergravities: locally supersymmetric theoriesp. 95
The problem of gauging supersymmetryp. 97
Einstein gravity as a gauge theoryp. 99
N = 1 supergravityp. 106
Extended supergravitiesp. 112
The hidden assumptions of grand unification and the matter/force problemp. 117
Higher-dimensional unificationp. 120
Eleven-dimensional supergravity and its preferential compactificationp. 125
Conclusionp. 135
The present status of supersymmetryp. 137
Referencesp. 142
Indexp. 151
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521356756
ISBN-10: 052135675X
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 164
Published: 30th May 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 0.9
Weight (kg): 0.25