LEADER 03691nam 22005295a 450 001 9910151938403321 005 20091109150325.0 010 $a3-03719-513-4 024 70$a10.4171/013 035 $a(CKB)3710000000953791 035 $a(CH-001817-3)32-091109 035 $a(PPN)178155039 035 $a(EXLCZ)993710000000953791 100 $a20091109j20050531 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundaries$b[electronic resource] /$fOlivier Biquard 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2005 215 $a1 online resource (259 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v8 327 $tGeometric aspects of the AdS/CFT correspondence /$rMichael T. Anderson --$tSome aspects of the AdS/CFT correspondence /$rJan de Boer, Liat Maoz, Asad Naqvi --$tThe ambient obstruction tensor and Q-curvature /$rC. Robin Graham, Kengo Hirachi --$tAdS/CFT correspondence and geometry /$rIoannis Papadimitriou, Kostas Skenderis --$tMass formulae for asymptotically hyperbolic manifolds /$rMarc Herzlich --$tReconstructing Minkowski space-time /$rSergey N. Solodukhin --$tNon-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ? 5 /$rMichael T. Anderson, Piotr T. Chrus?ciel, Erwann Delay --$tThe conformal boundary of anti-de Sitter space-times /$rCharles Frances --$tSupersymmetric AdS backgrounds in string and M-theory /$rJerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram. 330 $aSince 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. 517 $aAdS/CFT Correspondence 606 $aDifferential & Riemannian geometry$2bicssc 606 $aDifferential equations$2bicssc 606 $aRelativistic quantum mechanics & quantum field theory$2bicssc 606 $aDifferential geometry$2msc 606 $aPartial differential equations$2msc 606 $aQuantum theory$2msc 606 $aRelativity and gravitational theory$2msc 615 07$aDifferential & Riemannian geometry 615 07$aDifferential equations 615 07$aRelativistic quantum mechanics & quantum field theory 615 07$aDifferential geometry 615 07$aPartial differential equations 615 07$aQuantum theory 615 07$aRelativity and gravitational theory 686 $a53-xx$a35-xx$a81-xx$a83-xx$2msc 702 $aBiquard$b Olivier 801 0$bch0018173 906 $aBOOK 912 $a9910151938403321 996 $aAdS$92565451 997 $aUNINA