AdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003Olivier Biquard European Mathematical Society, 2005 - 252 pagina's 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. |
Inhoudsopgave
Preface | 2 |
Geometric aspects of the AdSCFT correspondence | 3 |
Continuation to de Sitter and selfsimilar vacuum spacetimes | 21 |
Geometric aspects of the AdSCFT correspondence 1 | 29 |
Robin Graham and Kengo Hirachi | 59 |
Ioannis Papadimitriou and Kostas Skenderis | 73 |
Marc Herzlich | 103 |
Introduction | 105 |
Sergey N Solodukhin | 123 |
Michael T Anderson Piotr T Chruściel and Erwann Delay | 165 |
Charles Frances | 205 |
Veelvoorkomende woorden en zinsdelen
AdS/CFT correspondence AdSn+1 AH Einstein metric Anti-de Sitter space asymptotically flat asymptotically hyperbolic black hole boundary data boundary metric bulk fields coefficients compactification components computation conformal anomaly conformal boundary conformal infinity conformally compact conformally invariant coordinate correlation functions cosh cosmological constant covariant defined denote derivatives diffeomorphism differential dimension dimensional ds² dual Euclidean existence expansion field equations field theory finite follows G-structures gauge geodesic geometry given globally High Energy Phys holographic data holographic renormalization horizon hyperbolic metric hypersurface implies integral isometry Killing vector field light-cone linear Lorentzian manifold mass Math metric g Minkowski space momenta on-shell action operator perturbation Poincaré metric proof Quantum Gravity renormalization result Riemannian satisfies scalar curvature Section self-dual sinh Skenderis slices smooth solution static stress-energy tensor string theory structure supergravity symmetric Theorem topological uniqueness zero Χτα