Ads/Cft Correspondence: Einstein Metrics and Their Conformal Boundaries: 73rd Meeting of Theoretical Physicists and Mathematicians .. (IRMA Lectures in Mathematics & Theoretical Physics)

Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side, it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics. Written by leading experts and directed at research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of this important area both in theoretical physics and in mathematics. It contains survey articles giving a broad overview of the subject and of the main questions, as well as more specialized articles providing new insight both on the Riemannian side and on the Lorentzian side of the theory. A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society. Geometric Aspects Of The Ads/cft Correspondence / Michael T. Anderson -- Some Aspects Of The Ads/cft Correspondence / Jan De Boer, Liat Maoz And Asad Naqvi -- Ambient Obstruction Tensor And Q-curvature / C. Robin Graham And Kengo Hirachi -- Ads/cft Correspondence And Geometry / Ioannis Papadimitriou And Kostas Skenderis -- Mass Formulae For Asymptotically Hyperbolic Manifolds / Marc Herzlich -- Reconstructing Minkowski Space-time / Sergey N. Solodukhin -- Non-trivial, Static, Geodesically Complete Space-times With A Negative Cosmological Constant Ii : N [actual Symbol Not Reproducible] 5 / Michael T. Anderson, Piotr T. Chrusciel And Erwann Delay -- Conformal Boundary Of Anti-de Sitter Space-times / Charles Frances -- Supersymmetric Ads Backgrounds In String And M-theory / Jerome P. Gauntlett, Dario Martelli, James Sparks And Daniel Waldram. Olivier Biquard, Editor. Includes Bibliographical References. Cover......Page 1 IRMA Lectures in Mathematics and Theoretical Physics 8......Page 2 Editor......Page 3 Title......Page 4 Copyright......Page 5 Preface......Page 6 Table of Contents......Page 8 Geometric aspects of the AdS/CFT correspondence......Page 10 Some aspects of the AdS/CFT correspondence......Page 42 The ambient obstruction tensor and Q-curvature......Page 68 AdS/CFT correspondence and geometry......Page 82 Mass formulae for asymptotically hyperbolic manifolds......Page 112 Reconstructing Minkowski space-time......Page 132 Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n \geq 5......Page 174 The conformal boundary of anti-de Sitter space-times......Page 214 Supersymmetric AdS backgrounds in string and M-theory......Page 226 Back Cover......Page 262