IRMA Lectures in Mathematics and Theoretical Physics 2005; 260 pp; softcover Volume: 8 ISBN10: 3037190132 ISBN13: 9783037190135 List Price: US$45 Member Price: US$36 Order Code: EMSILMTP/8
 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. Readership Graduate students and research mathematicians interested in geometry, topology, and mathematical physics. Table of Contents  M. T. Anderson  Geometric aspects of the AdS/CFT correspondence
 J. de boer, L. Maoz, and A. Naqvi  Some aspects of the AdS/CFT correspondence
 C. R. Graham and K. Hirachi  The ambient obstruction tensor and \(Q\)curvature
 I. Papadimitriou and K. Skenderis  AdS/CFT correspondence and geometry
 M. Herzlich  Mass formulae for asymptotically hyperbolic manifolds
 S. N. Solodukhin  Reconstructing Minkowski spacetime
 M. T. Anderson, P. T. Chruściel, and E. Delay  Nontrivial, static, geodesically complete spacetimes with a negative cosmological constant II. \(n\ge 5\)
 C. Frances  The conformal boundary of antide Sitter spacetimes
 J. P. Gauntlett, D. Martelli, J. Sparks, and D. Waldram  Supersymmetric AdS backgrounds in string and Mtheory
