Geometry of Supersymmetric Gauge Theories

1. Front Matter

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2. The canonical geometric structure of rigid superspace and SUSY transformations

   Pages 1-45

3. The general structure of SYM-theories

   Pages 46-78

4. Classical SYM-theories in the gauge real representation

   Pages 79-85

5. BRS differential algebras in SYM-theories

   Pages 86-129

6. Geometry of extended supersymmetry

   Pages 130-137

7. Back Matter

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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

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