AdS/CFT For Non-Boundary Manifolds
High Energy Physics - Theory
2010-12-23 v3
Abstract
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.
Cite
@article{arxiv.hep-th/0003291,
title = {AdS/CFT For Non-Boundary Manifolds},
author = {Brett McInnes},
journal= {arXiv preprint arXiv:hep-th/0003291},
year = {2010}
}
Comments
21 pages, 1 eps figure (1000x500), remarks on p-brane stress-tensor clarified