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Harmonic Superspace


Part of Cambridge Monographs on Mathematical Physics

  • Date Published: February 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521020428

£ 45.99

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About the Authors
  • This is a 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.

    • Written by world experts in the field and the inventors of the harmonic superspace technique
    • Comprehensive and pedagogical in its approach
    • Complements other key texts on superstring theory in the same series
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    Reviews & endorsements

    'Harmonic Superspace … is the first discussion, outside of the confines of the research literature, to present pedagogically the intricacies of its topic. This is a unique book.' Physics Today

    '… 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

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    Product details

    • Date Published: February 2007
    • format: Paperback
    • isbn: 9780521020428
    • length: 324 pages
    • dimensions: 243 x 168 x 16 mm
    • weight: 0.519kg
    • contains: 20 b/w illus. 3 tables
    • availability: Available
  • Table of Contents

    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

  • Authors

    A. S. Galperin, Fannie Mae, Washington DC

    E. A. Ivanov, Joint Institute for Nuclear Research, Dubna, Russia

    V. I. Ogievetsky

    E. S. Sokatchev, Laboratoire d'Annecy-le-Vieux de Physique Théorique, France

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