Supersymmetric Mechanics - Vol. 2
This is the second volume in a series of books on the general theme of sup- symmetricmechanicswhicharebasedonlecturesanddiscussionsheldin2005 and 2006 at the INFN – Laboratori Nazionali di Frascati. The ?rst volume is published as Lecture Notes in Physics 698, Supersymmetric Mechanics – Vol. 1: Noncommutativity and Matrix Models, 2006 (ISBN: 3-540-33313-4). The present one is an expanded version of the series of lectures “Attractor Mechanism, Black Holes, Fluxes and Supersymmetry” given by S. Ferrara at theSSM05 – Winter School on Modern Trends in Supersymmetric Mechanics, held at the Laboratori Nazionali di Frascati, 7–12 March, 2005. Such lectures were aimed to give a pedagogical introduction at the nonexpert level to the attractor mechanism in space-time singularities. In such a framework, sup- symmetryseemstoberelatedtodynamicalsystemswith?xedpoints,descr- ing the equilibrium state and the stability features of the thermodynamics of black holes. The attractor mechanism determines the long-range behavior of the ?ows in such (dissipative) systems, characterized by the following p- nomenon: when approaching the ?xed points, properly named “attractors,” the orbits of the dynamical evolution lose all memory of their initial con- tions, although the overall dynamics remains completely deterministic. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at some length; they include relevant cases of asymptotically ?at, maximal and nonmaximal, extended supergravities in four and ?ve dim- sions. Finally, we shortly overview a number of recent advances along various directions of research on the attractor mechanism.
Based on lectures presented at the INFN-Laboratori Nazionali di FrascatiOffers the latest research in Supersymmetric MechanicsCovers cases of asymptotically flat, maximal and non-maximal, extended supergravities in 4 and 5 dimensions