AdS/CFT For Non-Boundary Manifolds

Details AdS/CFT For Non-Boundary Manifolds AdS/CFT For Non-Boundary Manifolds

2000-03-31

arxiv.org/abs/hep-th/0003291v3

JHEP 0005:025,2000

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 eps figure (1000x500), remarks on p-brane stress-tensor clarified

Scientific paper

10.1088/1126-6708/2000/05/025

In its Euclidean formulation, the AdS/CFT correspondence begins as a study of Yang-Mills conformal field theories on the sphere, S^4. It has been successfully extended, however, to S^1 X S^3 and to the torus T^4. It is natural to hope that it can be made to work for any manifold on which it is possible to define a stable Yang-Mills conformal field theory. We consider a possible classification of such manifolds, and show how to deal with the most obvious objection : the existence of manifolds which cannot be represented as boundaries. We confirm Witten's suggestion that this can be done with the help of a brane in the bulk.

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