Geometry of Supersymmetric Gauge Theories

✍ Scribed by Francois Gieres

• Book ID: 127432972
• Publisher: Springer
• Year: 1988
• Tongue: English
• Weight: 1 MB
• Series: LNP0302
• Edition: 1
• Category: Library
• ISBN-13: 9783540190806

✦ Synopsis

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-Poincar? 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.