Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.
Inhaltsverzeichnis
Introduction. - Black Holes and First Order Flows in Supergravity. - Representations of Super Lie Groups: Some Remarks. - On Chiral Quantum Superspaces. - On the Construction of Chevalley Supergroup. - Indecomposable Finite-dimensional Representations of a Class o f Lie algebras and Lie Superalgebras. - On the Geometry of Super Riemann Surfaces. - Charge Orbits and Moduli Spaces of Black Hole Attractors. - Maximal Supersymmetry. - Lie Supergroups, Unitary Representations, and Invariant Cones. - Geometry of Dual Pairs of Complex Supercurves. - On the Superdimension of an Irreducible Representation.
