Harmonic Superspace

A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev

306 pages, parution le 16/10/2001

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Résumé

This is the first pedagogical introduction to the harmonic superspace method in extended supersymmetry. Inspired by exciting 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. This book will be of interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries.

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 superspace
12. N=3 supersymmetric Yang-Mills theory
13. Conclusions
Appendices 1-5. Notations, conventions and useful formulae
Index.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev
Parution	16/10/2001
Nb. de pages	306
Format	18 x 25,3
Couverture	Relié
Poids	700g
Intérieur	Noir et Blanc
EAN13	9780521801645
ISBN13	978-0-521-80164-5