Geometry of Supersymmetric Gauge Theories
Gieres, François.
Geometry of Supersymmetric Gauge Theories Including an Introduction to BRS Differential Algebras and Anomalies / [electronic resource] : by François Gieres. - VIII, 191 p. online resource. - Lecture Notes in Physics, 302 0075-8450 ; . - Lecture Notes in Physics, 302 .
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.
9783540391005
10.1007/BFb0018115 doi
Mathematical physics.
Quantum theory.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Elementary Particles, Quantum Field Theory.
QC5.53
530.15
Geometry of Supersymmetric Gauge Theories Including an Introduction to BRS Differential Algebras and Anomalies / [electronic resource] : by François Gieres. - VIII, 191 p. online resource. - Lecture Notes in Physics, 302 0075-8450 ; . - Lecture Notes in Physics, 302 .
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.
9783540391005
10.1007/BFb0018115 doi
Mathematical physics.
Quantum theory.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Elementary Particles, Quantum Field Theory.
QC5.53
530.15