03467nam a22004335a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016707200170018407200170020108400360021824501180025426000820037230000340045433600260048833700260051433800360054034700240057649000820060050508380068250600660152052010290158665000470261565000350266265000660269765000310276365000400279465000240283465000450285870000310290385600320293485600670296632-091109CH-001817-320091109150325.0a fot ||| 0|cr nn mmmmamaa091109e20050531sz fot ||| 0|eng d a978303719513070a10.4171/0132doi ach0018173 7aPBMP2bicssc 7aPBKJ2bicssc 7aPHTR2bicssc a53-xxa35-xxa81-xxa83-xx2msc10aAdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundariesh[electronic resource] /cOlivier Biquard3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2005 a1 online resource (259 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v800tGeometric 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. Chruściel, 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.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aDifferential & Riemannian geometry2bicssc07aDifferential equations2bicssc07aRelativistic quantum mechanics & quantum field theory2bicssc07aDifferential geometry2msc07aPartial differential equations2msc07aQuantum theory2msc07aRelativity and gravitational theory2msc1 aBiquard, Olivier,eeditor.40uhttps://doi.org/10.4171/013423cover imageuhttps://www.ems-ph.org/img/books/biquard_mini.jpg