Harmonic superspace / / A.S. Galperin ... [et al.]

• Record Nr.: UNINA9910810875403321
• Pubbl/distr/stampa: Cambridge ; ; New York, : Cambridge University Press, 2001
• ISBN: 1-107-12276-7; 1-280-43043-5; 9786610430437; 0-511-17451-9; 0-511-04145-4; 0-511-15445-3; 0-511-32835-4; 0-511-53510-4; 0-511-04763-0
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (xiv, 306 pages) : digital, PDF file(s)
• Collana: Cambridge monographs on mathematical physics
• Altri autori (Persone): GalperinA. S <1954-> (Alexander Samoilovich)
• Disciplina: 539.7/25
• Soggetti: Supersymmetry
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 289-303) and index.
• Nota di contenuto: Brief motivations -- Spaces and superspaces -- Chirality as a kind of Grassmann analyticity -- N = 1 chiral superfields -- Auxiliary fields -- Why standard superspace is not adequate for N = 2 supersymmetry -- Search for conceivable superspaces (spaces) -- N = 2 harmonic superspace -- Dealing with the sphere S[superscript 2] -- Comparison with the standard harmonic analysis -- Why harmonic superspace helps -- N = 2 supersymmetric theories -- N = 2 matter hypermultiplet -- N = 2 Yang-Mills theory -- N = 2 supergravity -- N = 3 Yang-Mills theory -- Harmonics and twistors. Self-duality equations -- Elements of supersymmetry -- Poincare and conformal symmetries -- Poincare group -- Conformal group -- Two-component spinor notation -- Poincare and conformal superalgebras -- N = 1 Poincare superalgebra -- Extended supersymmetry -- Conformal supersymmetry -- Central charges from higher dimensions -- Representations of Poincare supersymmetry -- Representations of the Poincare group -- Poincare ; superalgebra representations. Massive case -- Poincare superalgebra representations. Massless case -- Representations with central charge -- Realizations of supersymmetry on fields. Auxiliary fields -- N = 1 matter multiplet -- N = 1 gauge multiplet -- Auxiliary fields and extended supersymmetry -- Superspace -- Coset space generalities -- Coset spaces for the Poincare and super Poincare groups -- N = 2 harmonic superspace -- Harmonic variables -- Harmonic covariant derivatives -- N = 2 superspace with central charge coordinates.
• Sommario/riassunto: 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.