Introduction to supersymmetric field theory / / by Sergio M. Kuzenko.
Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full d...
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Place / Publishing House: | Boca Raton, FL : : CRC Press,, 1998. |
Year of Publication: | 1998 |
Edition: | Revised edition. |
Language: | English |
Series: | Studies in high energy physics, cosmology, and gravitation
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Physical Description: | 1 online resource (xx, 656 p. ) |
Notes: | Bibliographic Level Mode of Issuance: Monograph |
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Table of Contents:
- Preface. Mathematical background: The PoincarD'e group, the Lorentz group; Finite-dimensional representations of ISpin(3,1); The Lorentz algebra; Two-component and four-component spinors; Representations of the PoincarD'e group; Elements of differential geometry and gravity; The conformal group; The mass-shell field representation; Elements of algebra with supernumbers; Elements of analysis with supernumbers; The supergroup of general coordinate transformations on RTp/q. Supersymmetry and superspace: Introduction: from RTp/q to supersymmetry; Superalgebras, Grassmann-shells and super Lie groups; The PoincarD'e superalgebra; Unitary representation of the PoincarD'e superalgebra; Real superspace RT4/4 and superfields; Complex superspace CT4/2, chiral superfields and covariant derivatives; The on-shell massive superfield representations; The on-shell massless superfield representations; From superfields to component fields; The superconformal group. Field theory in superspace: Supersymmetric field theory; Wess-Zumino model; Supersymmetric nonlinear sigma-models; Vector multiplet models; Supersymmetric Yang-Mills theories; Geometric approach to super Yang-Mills theories; Classically equivalent theories. Quantized superfields: Picture-change operators; Equivalence of component field and superfield perturbation theories; Effective action (super) funtional; The Wess-Zumino model: perturbative analysis; Note about gauge theories; Feynman rules for super Yang-Mills theories; Renormalization; Examples of counterterm calculations: an alternative technique; Superfield effective potential. Superspace geometry of supergravity: Gauge group of supergravity and supergravity fields; Superspace differential geometry; Supergeometry with conformal supergravity constraints; Prepotentials; Einstein supergravity; Prepotential de formations; Supercurrent and supertrace; Supergravity in components. Dynamics in supergravity: Pure supergravity dynamics; Linearized supergravity; Superg.