Supersymmetric Mechanics - Vol. 2: The Attractor Mechanism and Space Time Singularities

ISBN-13: 9783642421112 / Angielski / Miękka / 2014 / 243 str.

Stefano Bellucci;Sergio Ferrara;Alessio Marrani

Opis

This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. This volume supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at length.

Recenzje

From the reviews:

"This presents a comprehensive and detailed overview of the structure of supersymmetric black hole solutions in supergravity, critical point structure in the scalar field moduli space and the thermodynamic consequences. This second volume alone makes the set a worthwhile addition to the research library of any university active in fundamental theoretical physics." (Kellogg S Stelle, Classical and Quantum Gravity, Issue 24, 2007)

"The book under review is the second in a series devoted to supersymmetric mechanics. It concerns black hole solutions in supergravity theories. The book is divided into nine chapters. ... This book provides very nice lectures on a powerful application of supersymmetry to the description of black hole entropy. ... The text should be suggested as a reference book to students and researchers interested in the topic of attractor mechanism and related matters." (Sergio L. Cacciatori, Mathematical Reviews, Issue 2008 c)

Spis treści

Black Holes and Supergravity.- Attractors and Entropy.- Attractor Mechanism in N = 2, d = 4 Maxwell—Einstein Supergravity.- Black Holes and Critical Points in Moduli Space.- Black Hole Thermodynamics and Geometry.- N > 2-extended Supergravity, U-duality and the Orbits of Exceptional Lie Groups.- Microscopic Description. The Calabi–Yau Black Holes.- Macroscopic Description. Higher Derivative Terms and Black Hole Entropy.- Further Developments.

Blurb

This is the second volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The first volume 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 such a framework, supersymmetry seems to be related to dynamical systems with fixed points, describing the equilibrium state and the stability features of the thermodynamics of black holes. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at some length; they include relevant cases of asymptotically flat, maximal and non-maximal, extended supergravities in 4 and 5 dimensions. A number of recent advances along various directions of research on the attractor mechanism are also given.