TY  - BOOK
AU  - Gieres,François
ED  - SpringerLink (Online service)
TI  - Geometry of Supersymmetric Gauge Theories: Including an Introduction to BRS Differential Algebras and Anomalies 
T2  - Lecture Notes in Physics,
SN  - 9783540391005
AV  - QC5.53 
U1  - 530.15 23
PY  - 1988///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Mathematical physics
KW  - Quantum theory
KW  - Mathematical Methods in Physics
KW  - Numerical and Computational Methods
KW  - Elementary Particles, Quantum Field Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0018115
ER  -