Anti-de-Sitter spacetime and its uses

@article{Gibbons2011AntideSitterSA,
  title={Anti-de-Sitter spacetime and its uses},
  author={G. W. Gibbons},
  journal={arXiv: High Energy Physics - Theory},
  year={2011}
}
  • G. Gibbons
  • Published 6 October 2011
  • Physics
  • arXiv: High Energy Physics - Theory
This is a pedagogic account of some of the global properties of Anti-de-Sitter spacetime with a view to their application to the AdS/CFT correspondence. Particular care is taken over the distinction between Anti-de-Sitter and it's covering space. Written version of lectures given at 2nd Samos Meeting held at at Pythagoreon, Samos, Greece, 31 August - 4 September 1998 and published as Anti-de-Sitter spacetime and its uses, in Mathematical and Quantum Aspects of Relativity and Cosmology… 

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References

SHOWING 1-10 OF 62 REFERENCES

On closed anti de Sitter spacetimes

This article deals with the structure of the fundamental group of compact anti de Sitter spacetimes, i.e. Lorentz manifolds with constant negative curvature. Algebraically such a manifold is the

A New approach to string cosmology

We discuss quotients of Anti-de Sitter (AdS) spacetime by a discrete group in light of the AdS-CFT correspondence. Some quotients describe closed universes which expand from zero volume to a maximum

Existence of Majorana fermions for M-branes wrapped in space and time

We show that it is possible to define Majorana (s)pinor fields on M-branes which have been identified under the action of the antipodal map on the adS factor of the throat geometry, or which have

Rotation and the AdS / CFT correspondence

In asymptotically flat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be co-rotating faster than light far from the black hole. However

Some Remarks on the Infinite De Sitter Space.

  • E. Wigner
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1950
This last point ensures that the neighborhood of any point of these de Sitter spaces behaves like the flat space of special relativity (Minkowski space).

The AdS / CFT correspondence and a new positive energy conjecture for general relativity

We examine the AdS-CFT correspondence when gauge theory is considered on a compactified space with supersymmetry-breaking boundary conditions. We find that the corresponding supergravity solution has

Quantum field theory in anti-de Sitter space-time

We consider the problem of quantizing scalar fields propagating in anti--de Sitter space-time. This space-time is static but not globally hyperbolic and hence the usual quantization procedures are
...