Geometry of Supersymmetric Gauge Theories Including an Introduction to BRS Differential Algebras and Anomalies

This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories. While the core of the text is concerned with the classical theory, the quantization and anomaly problem are briefly discussed following a comprehensive introduction to...

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Bibliographic Details
Main Author: Gieres, Francois
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1988, 1988
Edition:1st ed. 1988
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Gieres, Francois 
245 0 0 |a Geometry of Supersymmetric Gauge Theories  |h Elektronische Ressource  |b Including an Introduction to BRS Differential Algebras and Anomalies  |c by Francois Gieres 
250 |a 1st ed. 1988 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1988, 1988 
300 |a VIII, 191 p  |b online resource 
505 0 |a Contents: The Canonical Geometric Structure of Rigid Superspace and Susy Transformations -- The General Structure of Sym-Theories -- Classical Sym-Theories in the Gauge Real Representation -- BRS-Differential Algebras in Sym-Theories -- Geometry of Extended Supersymmetry -- Appendices: Superspace Conventions and Notations (for N=1, d=4). Complex (and Hermitean) Conjugation in Simple Supersymmetry. Complex Conjugation in N=2 Supersymmetry. Geometric Interpretation of the Canonical Linear Connection on Reductive Homogeneous Spaces. Koszul's Formula (BRS Cohomology). On the Description of Anticommuting Spinors in Ordinary and Supersymmetric Field Theories -- References -- Subject Index 
653 |a Quantum field theory 
653 |a Elementary particles (Physics) 
653 |a Elementary Particles, Quantum Field Theory 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Mathematical Methods in Physics 
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490 0 |a Lecture Notes in Physics 
028 5 0 |a 10.1007/BFb0018115 
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082 0 |a 530.15 
520 |a This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories. While the core of the text is concerned with the classical theory, the quantization and anomaly problem are briefly discussed following a comprehensive introduction to BRS differential algebras and their field theoretical applications. Among the treated topics are invariant forms and vector fields on superspace, the matrix-representation of the super-Poincaré group, invariant connections on reductive homogeneous spaces and the supermetric approach. Various aspects of the subject are discussed for the first time in textbook and are consistently presented in a unified geometric formalism. Requiring essentially no background on supersymmetry and only a basic knowledge of differential geometry, this text will serve as a mathematically lucid introduction to supersymmetric gauge theories