The element Q1 commutes with 6 generators in 172/2, ... of Spin(4) acting on the subspace (1234) and with 3 generators of Spin(3) acting on the subspace (567). Hence, the centralizer of Qi seems to be Spin(4) × Spin(3).
Author: M Shifman
Publisher: World Scientific
This invaluable volume is dedicated to the memory of Yuri Golfand, one of the discoverers of supersymmetry. Together with his student, he constructed in 1970 the superextension of the Poincaré algebra and obtained the first four-dimensional supersymmetric field theory, a version of supersymmetric QED. Golfand died in 1994 in Israel. Did the pioneers of supersymmetry — Neveu, Schwarz, Ramond, Golfand, Volkov, Wess, Zumino and others — foresee in the early 1970's that they would be opening to us the gates of the superworld? The superworld will become one of the most important components of our understanding of Nature — a component that will stay with us forever. This book is a compilation of the original papers and review articles, devoted to various aspects of supersymmetry, written by the outstanding researchers in the field, theorists whose work shaped the present day theory and continues to make a profound impact on the frontier directions of the current development. A wide range of topics is covered — from subtle results in the superstring theory to supersymmetry-based phenomenology. Most of the articles have been prepared specifically for this volume. The first part of the book consists of the Editor's essay presenting the basic stages of Golfand's life and work, the memoirs of his widow, Mrs N Koretz-Golfand and of his student, Dr E Likhtman. Also included is the article of Prof. M Marinov “Revealing the Path to the Superworld”, outlining the main ideas that paved the way to the discovery of supersymmetry. The historical part of the book concludes with the English translation of the Golfand-Likhtman paper on supersymmetry published in 1972 in the Tamm Memorial Volume. Contents:Part II — The Present: From Symmetry to Supersymmetry (J Wess)Duality Invariant Born-Infeld Theory (D Brace et al.)Bäcklund Transformations in 10D SUSY Yang–Mills Theories (J-L Gervais)Representations of Extended Supersymmetries in Two Dimensions (A M Semikhatov)Supersymmetric Quantum Mechanics from Light Cone Quantization (S Hellerman & J Polchinski)Supersymmetric Index of Three-Dimensional Gauge Theory (E Witten)Vacuum Structure in Supersymmetric Yang–Mills Theories with Any Gauge Group (V G Kac & A V Smilga)The Superworld (N Seiberg)Brane Dynamics and Gauge Theory (D Kutasov)Confining Phase of Three Dimensional Supersymmetric Quantum Electrodynamics (M J Strassler)Z-D Brane Box Models and Non-Chiral Dihedral Quivers (B Feng et al.)Threebranes and Conformal Gauge Theories (I R Klebanov)Extremal Correlators in the AdS/CFT Correspondence (E D'Hoker et al.)Two Outcomes for Two Old (Super-)Problems (S Deser)Anomalies in Supersymmetric Theories (M T Grisaru)Some Properties of Type I′ String Theory (J H Schwarz)Dirac Equations, Light Cone Supersymmetry, and Superconformal Algebras (L Brink & P Ramond)Born-Infeld Action, Supersymmetry, and String Theory (A A Tseytlin)The Freckled Instantons (A Losev et al.)About R-Parity and the Supersymmetric Standard Model (P Fayet)M-Theory and Hypercharge (N D Lambert & P C West)Constraints on Extra Time Dimensions (G Dvali et al.)Higher Spin Gauge Theories: Star-Product and AdS Space (M A Vasiliev)Some Thermodynamical Aspects of String Theory (S A Abel et al.)Logarithmic Unification from Symmetries Enhanced in the Sub-Millimeter Infrared (N Arkani-Hamed et al.)A Toy Model for Supergravity and Superspace (P van Nieuwenhuizen) Readership: Graduate students, researchers and lecturers in theoretical high energy physics and historians of science. Keywords:Discovery of Supersymmetry;Pioneers of Supersymmetry;Golfand;Witten Index;Seiberg Duality;Supersymmetric Anomalies;Supergravity;Superspace