Description 
1 online resource (xiv, 306 pages) 
Series 
Cambridge monographs on mathematical physics 

Cambridge monographs on mathematical physics.

Contents 
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 YangMills theory  N = 2 supergravity  N = 3 YangMills theory  Harmonics and twistors. Selfduality equations  Elements of supersymmetry  Poincare and conformal symmetries  Poincare group  Conformal group  Twocomponent 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 
Summary 
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 offshell 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 offshell formulation of a theory with higher supersymmetry, namely the N=3 supersymmetric YangMills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the onetoone correspondence between N=2 supersymmetric matter, and hyperKähler 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 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Supersymmetry.

Form 
Electronic book

Author 
Galperin, A. S. (Alexander Samoilovich), 1954

ISBN 
0511041454 (electronic bk.) 

0511535104 (electronic bk.) 

9780511041457 (electronic bk.) 

9780511535109 (electronic bk.) 
