ISBN-10:
0521020425
ISBN-13:
9780521020428
Pub. Date:
02/22/2007
Publisher:
Cambridge University Press
ISBN-10:
0521020425
ISBN-13:
9780521020428
Pub. Date:
02/22/2007
Publisher:
Cambridge University Press
Harmonic Superspace

Harmonic Superspace

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Overview

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.


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Product Details

ISBN-13: 9780521020428
Publisher: Cambridge University Press
Publication date: 02/22/2007
Series: Cambridge Monographs on Mathematical Physics
Edition description: New Edition
Pages: 324
Product dimensions: 6.61(w) x 9.57(h) x 0.63(d)

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.

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