Harmonic Superspace

ISBN-13: 9780521801645 / Angielski / Twarda / 2001 / 322 str.

Alexander S. Galperin; Evgeny A. Ivanov

Opis

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-Kahler and quaternionic manifolds.

Recenzje

'… it deserves a place in every theoretical physics and mathematics library. It is clearly all set to become the standard work on all things pertaining to Harmonic Superspace … this is a book that people will want to go back to.' Contemporary Physics

Spis treści

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.