Introduction to Supersymmetry

By: Peter G. O. Freund

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Paperback | 30 May 1988

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164 Pages

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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.

Industry Reviews

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

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Non-Fiction Science Physics

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Non-Fiction Science Physics

Preface
Supersymmetry: the physical and mathematical foundations	p. 1
From symmetry to supersymmetry	p. 3
Lie superalgebras	p. 7
Spinors in d-dimensions	p. 15
Physical supersymmetries	p. 22
Particle contents of supermultiplets	p. 29
Superspace	p. 34
Lie supergroups	p. 37
Superfields	p. 40
Integration on Grassmann algebras	p. 43
Globally supersymmetric theories	p. 47
Supersymmetric point particle mechanics	p. 49
Pseudoclassical mechanics of superpoint particles	p. 54
Supersymmetric field theories in two space-time dimensions	p. 60
Spontaneous supersymmetry breaking	p. 65
Vector and chiral superfields in four-dimensional space-time	p. 71
The Wess-Zumino model	p. 75
The supersymmetric Maxwell and Yang-Mills theories	p. 77
Supersymmetric quantum field theories and their applications	p. 81
Finite quantum field theories	p. 84
The supercurrent and anomaly supermultiplets	p. 90
Supergravities: locally supersymmetric theories	p. 95
The problem of gauging supersymmetry	p. 97
Einstein gravity as a gauge theory	p. 99
N = 1 supergravity	p. 106
Extended supergravities	p. 112
The hidden assumptions of grand unification and the matter/force problem	p. 117
Higher-dimensional unification	p. 120
Eleven-dimensional supergravity and its preferential compactification	p. 125
Conclusion	p. 135
The present status of supersymmetry	p. 137
References	p. 142
Index	p. 151
Table of Contents provided by Syndetics. All Rights Reserved.

Introduction to Supersymmetry

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