# AdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundaries

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*Olivier Biquard*

A publication of the European Mathematical Society

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.