This volume contains papers presented at the Nuffield Workshop on supersymmetry and its applications held at Cambridge in the summer of 1985 and attended by many of the leading experts in the field. In physical terms, supersymmetry is a symmetry or gauge invariance which connects bosons (particles with integer spin) with fermions (particles with half integer spin). The study of supersymmetry has led to the construction of Yang-Mills theories, which are the first field theories to be free of the divergences that usually occur in quantum theories, with an infinite number of degrees of freedom. It has also led to the construction of supergravity and superstring theories which seem to be the best hope for a complete unified theory of all physical interactions including gravity. Supersymmetry and its Applications reviews a number of recent advances in the area of anomalies, the topology of gauge theories, superstrings, supergravity and super Yang-Mills theory.The papers, written by both physicists and mathematicians, include both expository articles and progress reports describing most recent developments.

A brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The basic ideas are worked out in low space dimensionalities and techniques where the formulae do not obscure the concepts.

This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years. Aimed at graduate students and scientists this book provides a thorough review supersymmetric quantum mechanics and now includes problems and solutions.

This book presents the superfield description of various supersymmetric field theory models in three- and four-dimensional space-times. A mapping between superfield and component formulations of supersymmetric field theories is discussed. The author also describes the methodology for calculating quantum corrections in these theories employing supergraph formalism and functional methods, and illustrates these approaches with many detailed examples of how such calculations are performed for various superfield models.

The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.