Ideas and methods of supersymmetry and supergravity or A walk through superspace
著者
書誌事項
Ideas and methods of supersymmetry and supergravity or A walk through superspace
Institute of Physics Pub., c1995
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book provides a comprehensive, detailed and self-contained account of four dimensional simple supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral and faculty researchers alike working in quantum field theory, high energy physics, gravity theory, mathematical physics and applied mathematics.
The authors develop the subject in its superfield formulation but where appropriate for illustration, analogy and comparison with conventional field theory, they use the component formulation.
Throughout the book the authors develop their material in detail with calculation and full discussions of the fundamental ideas and motivations. They discuss many subjects which until now could only be found in the research literature. In addition they present a plethora of new results. The result is the most comprehensive book yet produced on the fundamentals of supersymmetry and supergravity. After studying this book readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity.
目次
- Preface. Mathematical background: The Poincar^D'e group, the Lorentz group
- Finite-dimensional representations of ^ISpin(3,1)
- The Lorentz algebra
- Two-component and four-component spinors
- Representations of the Poincar^D'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 R^Tp/q. Supersymmetry and superspace: Introduction: from R^Tp/q to supersymmetry
- Superalgebras, Grassmann-shells and super Lie groups
- The Poincar^D'e superalgebra
- Unitary representation of the Poincar^D'e superalgebra
- Real superspace R^T4/4 and superfields
- Complex superspace C^T4/2, 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
- Supergravity-matter dynamical equations
- (Conformal) Killing supervectors. Superconformal models
- Conformally flat superspaces, anti-de Sitter superspace
- Non-minimal supergravity
- New minimal supergravity
- Matter coupling in non-minimal and new minimal supergravities
- Free massless higher superspin theories. Effective action in curved superspace
- The Schwinger-De Witt technique
- Proper-time representation for covariantly chiral scalar superpropagator
- Proper-time representation for scalar superpropagators
- Super Weyl anomaly
- Quantum equivalence in superspace. Bibliography. Index.
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