Geometry of Supersymmetric Gauge Theories

Including an Introduction to BRS Differential Algebras and Anomalies

  • Authors
  • François Gieres

Part of the Lecture Notes in Physics book series (LNP, volume 302)

About this book


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.


algebra differential geometry fields gauge theories geometry invariant quantization structure superspace supersymmetry symmetry vector field

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19080-6
  • Online ISBN 978-3-540-39100-5
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
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