03919nam 22005895 450 991025739730332120200701074401.03-540-39100-210.1007/BFb0018115(CKB)1000000000230737(SSID)ssj0000323523(PQKBManifestationID)12132011(PQKBTitleCode)TC0000323523(PQKBWorkID)10300334(PQKB)10921054(DE-He213)978-3-540-39100-5(PPN)155206990(EXLCZ)99100000000023073720121227d1988 u| 0engurnn|008mamaatxtccrGeometry of Supersymmetric Gauge Theories[electronic resource] Including an Introduction to BRS Differential Algebras and Anomalies /by Francois Gieres1st ed. 1988.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1988.1 online resource (VIII, 191 p.) Lecture Notes in Physics,0075-8450 ;302Bibliographic Level Mode of Issuance: Monograph3-540-19080-5 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.Lecture Notes in Physics,0075-8450 ;302PhysicsElementary particles (Physics)Quantum field theoryMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Physics.Elementary particles (Physics).Quantum field theory.Mathematical Methods in Physics.Numerical and Computational Physics, Simulation.Elementary Particles, Quantum Field Theory.530.15Gieres Francoisauthttp://id.loc.gov/vocabulary/relators/aut345821BOOK9910257397303321Geometry of Supersymmetric Gauge Theories358461UNINA