Francois Gieres

Geometry of Supersymmetric Gauge Theories

Including an Introduction to BRS Differential Algebras and Anomalies

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Physics 302
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-13677-5
• Softcover reprint of the original 1st ed. 1988
• Seitenzahl: 200
• Erscheinungstermin: 23. August 2014
• Englisch
• Abmessung: 244mm x 170mm x 12mm
• Gewicht: 355g
• ISBN-13: 9783662136775
• ISBN-10: 3662136775
• Artikelnr.: 41322068

Inhaltsangabe

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.