Synopses & Reviews
Here is the first pedagogical introduction to harmonic superspace in extended supersymmetry by the scientists who developed the method. Inspired by developments in superstring theory, it provides a systematic treatment of the quantum field theories with N=2 and N=3 supersymmetry in Harmonic Superspace. The authors present the harmonic superspace approach as a means of providing an off-shell description of the N=2 supersymmetric theories, both at the classical and quantum levels. Furthermore, they show how it offers a unique way to construct an off-shell formulation of a theory with higher supersymmetry, namely, the N=3 supersymmetric Yang-Mills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the one-to-one correspondence between N=2 supersymmetric matter, and hyper-Kähler and quaternionic manifolds.
Review
"...this book, written by the group which invented the method, contains a great deal of useful information and is a welcome survey of the early results starting from the pioneering paper of Galperin et al." Mathematical Reviews"...the first discussion, outside of the confines of the research literature, to present pedagogically the intricacies of its topic. This is a unique book, a readable narrative that clearly explains the applications and achievements of the approach. The proseois clear, with a minimum of jargon. It succeeds in its goals" Physics Today
Synopsis
The inventors of harmonic superspace present a clear account of the theory and its applications.
Synopsis
Inspired by exciting developments in superstring theory, this book provides a pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry. The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and applications. The book will be of great interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries.
Table of Contents
Preface; 1. Introductory overview; 2. Elements of supersymmetry; 3. Superspace; 4. Harmonic analysis; 5. N=2 matter with infinite sets of auxiliary fields; 6. N=2 matter multiplets with a finite number of auxiliary fields. N=2 duality transformations; 7. Supersymmetric Yang-Mills theories; 8. Harmonic supergraphs; 9. Conformal invariance in N=2 harmonic superspace; 10. Supergravity; 11. Hyper-Kähler geometry in harmonic space; 12. N=3 supersymmetric Yang-Mills theory; 13. Conclusions; Appendix. Notations, conventions and useful formulas; References; Index.