2002/04/02 by U. Lindström, Ulf Lindström, Lindström, U.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0204016
Latex, 28 pages, Invited Lectures at ``The 22nd Winter School Geometry and Physics, Srni, Czech Republic, January 12-19, 2002. V2: Misprints corrected
openalex publication_date 2002/04/02 · arxiv created 2002/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This set of lectures contain a brief review of some basic supersymmetry and its representations, with emphasis on superspace and superfields. Starting from the Poincaré group, the supersymmetric extensions allowed by the Coleman-Mandula theorem and its generalisation to superalgebras, the Haag, Lopuszanski and Sohnius theorem, are discussed. Minkowski space is introduced as a quotient space and Superspace is presented as a direct generalization of this. The focus is then shifted from a general presentation to the relation between supersymmetry and complex geometry as manifested in the possible target space geometries for N=1 and N=2 supersymmetric nonlinear sigma models in four dimensions. Gauging of isometries in nonlinear sigma models is discussed for these cases, and the quotient construction is described.