AdS/CFT correspondence: Einstein metrics and their conformal boundaries. 73rd meeting of the theoretical physicists and mathematicians, Strasbourg, France, September 11–13, 2003.

*(English)*Zbl 1062.81002
IRMA Lectures in Mathematics and Theoretical Physics 8. Zürich: European Mathematical Society (EMS) (ISBN 0-03719-013-2/pbk). vii, 252 p. (2005).

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Publisher’s description: 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.

Indexed articles:

Anderson, Michael T., Geometric aspects of the AdS/CFT correspondence, 1-31 [Zbl 1071.81553]

de Boer, Jan; Maoz, Liat; Naqvi, Asad, Some aspects of the AdS/CFT correspondence, 33-57 [Zbl 1071.81557]

Graham, C. Robin; Hirachi, Kengo, The ambient obstruction tensor and \(Q\)-curvature, 59-71 [Zbl 1074.53027]

Papadimitriou, Ioannis; Skenderis, Kostas, AdS/CFT correspondence and geometry, 73-101 [Zbl 1081.81085]

Herzlich, Marc, Mass formulae for asymptotically hyperbolic manifolds, 103-121 [Zbl 1082.53034]

Solodukhin, Sergey N., Reconstructing Minkowski space-time, 123-163 [Zbl 1078.81065]

Anderson, Michael T.; Chruściel, Piotr T.; Delay, Erwann, Non-trivial, static, geodesically complete space-times with a negative cosmological constant. II: \(n \geq 5\), 165-204 [Zbl 1075.83031]

Frances, Charles, The conformal boundary of anti-de Sitter space-times, 205-216 [Zbl 1071.81555]

Gauntlett, Jerome P.; Martelli, Dario; Sparks, James; Waldram, Daniel, Supersymmetric AdS backgrounds in string and M-theory, 217-252 [Zbl 1071.81556]

##### MSC:

81-06 | Proceedings, conferences, collections, etc. pertaining to quantum theory |

83-06 | Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory |

53-06 | Proceedings, conferences, collections, etc. pertaining to differential geometry |

00B25 | Proceedings of conferences of miscellaneous specific interest |

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\textit{O. Biquard} (ed.), AdS/CFT correspondence: Einstein metrics and their conformal boundaries. 73rd meeting of the theoretical physicists and mathematicians, Strasbourg, France, September 11--13, 2003. Zürich: European Mathematical Society (EMS) (2005; Zbl 1062.81002)

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