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
Langue : Anglais
Auteur : Gieres Francois
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.
Date de parution : 05-1988
Date de parution : 08-2014
Ouvrage de 191 p.
17x24.4 cm
Mots-clés :
algebra; differential geometry; fields; gauge theories; geometry; invariant; quantization; structure; superspace; supersymmetry; symmetry; vector field
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