Geometry of Supersymmetric Gauge Theories, Softcover reprint of the original 1st ed. 1988
Including an Introduction to BRS Differential Algebras and Anomalies
Lecture Notes in Physics Series, Vol. 302

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.

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.