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Supersymmetric Mechanics, Volume II: The Attractor Mechanism and Space Time Singularities |
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AbstractThis is the second volume in a series of books on the general theme ofSupersymmetric Mechanics; the series is based on lectures and discussions heldin 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The firstvolume appears as Lect. Notes Physics, Vol. 698 "Supersymmetric Mechanics ,Vol .1: Supersymmetry, Noncommutativity and Matrix Models" (2006) ISBN:3-540-33313-4.The present extensive lecture supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. In sucha framework, supersymmetry seems to be related to dynamical systems with fixedpoints, describing the equilibrium state and the stability features of thethermodynamics of black holes. After a qualitative overview, explicit examplesrealizing the attractor mechanism are treated at some length; they includerelevant cases of asymptotically flat, maximal and non-maximal, extendedsupergravities in 4 and 5 dimensions. A number of recent advances alongvarious directions of research on the attractor mechanism are also given.
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