Geometry of Supersymmetric Gauge Theories : Including an Introduction to BRS Differential Algebras and Anomalies. 1st ed. 1988

種類:

電子ブック

責任表示:

by Francois Gieres

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988

著者名:

• Gieres, Francois.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Physics ; 302

ISBN:

9783540391005 [3540391002]    

注記:

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.
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.

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