Supersymmetry, a Biased Review
Abstract
Description
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.
Latex, 28 pages, Invited Lectures at ``The 22nd Winter School Geometry and Physics, Srni, Czech Republic, January 12-19, 2002. V2: Misprints corrected
Latex, 28 pages, Invited Lectures at ``The 22nd Winter School Geometry and Physics, Srni, Czech Republic, January 12-19, 2002. V2: Misprints corrected